The number of years to the nearest hundredth is t = 21 years and 3 months.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
It is given that:
A = $25,600
P = $29,00
r = 10.4 = 0.104
n = 4
[tex]\rm 25600 = 2900(1+\dfrac{0.104}{4})^{4t}[/tex]
After solving:
t = 21.212 years
Or
t = 21 years and 3 months
Thus, the number of years to the nearest hundredth is t = 21 years and 3 months.
The complete question is:
How long will it take for $2900 to grow to $25,600 at an interest rate of 10.4% if the interest is compounded quarterly round the number of years to the nearest hundredth?
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(-0.216) - (-87.1) please solve within 5 mins
Answer: I believe the answer is 86.884
Step-by-step explanation:
Halla tres enteros pares consecutivos tales que 6 veces el primer entero sea 26 más que la suma del segundo y tercer enteros.
The consecutive even integers are 8, 10 and 12.
How to calculate the value?Let the integers be x, x + 2, and x + 4.
Therefore, the equation will be:
6(x) = x + 2 + x + 4 + 26
6x = 2x + 32
Collect like term
6x - 2x = 32
4x = 32
Divide
x = 32/4.
x = 8
The numbers are 8, 10 and 12.
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What is the domain and range of this picture?
In the figure below, m1= 35° and m/2 = 27°.
Find mTSW.
62°
A line is a simple, one-dimensional shape that can go on forever in the opposing directions. A line may be vertical or horizontal. It can be drawn either top to bottom or left to right.
When the ends of two rays collide at a single location, an angle is the geometry that results. They are measured in degrees (°) or radians. A 360-degree angle is the same as a whole rotation. It is symbolized by the character "∠"
∠1+∠2 = 35° +27°
=62°
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Ms. longora has two bags of wid- bird seed. the first bag has 20 ounces of wild- bird sod, and the second bag has 3; times as much wid-bird seed as the first. ms. longoria uses ; of the wild-bird seed from the larger bag to feed the birds in her backyard. how many ounces of wild-bird seed did she use?
Answer:
2
Step-by-step explanation:
If mQOS, mPOR, and mPOQ, what is mROS?
Applying the angle addition postulate, the measure of angle ROS is: 16°
How to Apply the Angle Addition Postulate?Given the following angle measures:
m<QOS = 49°
m<POR = 56°
m<POQ = 23°
Find the measure of angle QOR:
m<QOR = m<POR - m<POQ [angle addition postulate]
Substitute the values into the equation
m<QOR = 56 - 23
m<QOR = 33°
Find the measure of angle ROS:
m<ROS = m<QOS - m<QOR [angle addition postulate]
Substitute the values into the equation
m<ROS = 49 - 33
m<ROS = 16°
Therefore, applying the angle addition postulate, the measure of angle ROS is: 16°
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The pearson correlation is calculated for a sample of n = 25 individuals. what value of df should be used to determine whether or not the correlation is significant?
The correlation is a significant non-zero value.
The number of samples is n.
n = 25
The correlation of the coefficient is r.
r = -0.40
When correlation is significant,
[tex]H _{0} : p = 0[/tex]
When correlation is non-zero,
[tex]H _{ \alpha } : p ≠0[/tex]
The test statistic is,
[tex]TS = \frac{r \times \sqrt{n - 2} }{ \sqrt{1 - r {}^{2} } } [/tex]
[tex] = \frac{0.4 \times \sqrt{25 - 2} }{ \sqrt{1 - ( - 0.4) ^{2} } } [/tex]
[tex] = \frac{ - 1.918 }{ \sqrt{0.84} } [/tex]
= -2.093
The test statistic is -2.093.
The correlation is,
[tex]H _{ \alpha } : - 2.93 ≠0[/tex]
The correlation is not equal to zero and is significant.
Therefore, the correlation is a significant non-zero value.
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What is the decimal number 34.567 written in expanded form?
A: An expression that reads three times ten, plus one times one, plus five times one-tenth, plus seven times one-hundredth, plus four times one-thousandth
B: An expression that reads three times ten, plus three times one, plus six times one-tenth, plus seven times one-hundredth, plus five times one-thousandth
C: An expression that reads three times ten, plus four times one, plus five times one-tenth, plus six times one-hundredth, plus seven times one-thousandth
D: An expression that reads three times ten, plus seven times one, plus five times one- tenth, plus four times one-hundredth, plus six times one-thousandth
Answer:
option 3
Step-by-step explanation:
C: An expression that reads three times ten, plus four times one, plus five times one-tenth, plus six times one-hundredth, plus seven times one-thousandth
Is the sum of –8 + 3 negative? How do you know?
Answer:
The sum is negative because the number with the greatest value is negative.
Step-by-step explanation:
If the it's the same sign add, if not subtract.
8-3=5
keep the sign of the bigger number.
-5
Hope It Helps
Sorry If I'm Wrong
Answer: Yes
Step-by-step explanation:
The answer is negative. That is because you are adding three to negative 8.
Think about it. 8 is greater than three, right?
-8 + 3 = -5
You are bringing -8 closer to 0:
-8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5...
Bring -8 three spaces closer to 0. You get -5.
Hope this helps.
Find the midpoint given the endpoints:
(_________ , _________)
Question 2 options:
Blank # 1
Blank # 2
Answer:
- 4+23e
Step-by-step explanation:
solve each inequality
||x-4|-7|<5
The solution of the inequality is (x > - 8 and x < 2) or (x > 6 and x < 16).
How to find the solution set of an inequalityHerein we find an inequality that involves two absolute values. Absolute values are defined by the following piecewise functions:
|x - a| = x - a for x ≥ a|x - a| = - x + a for x < aNow we proceed to solve the inequality given:
||x - 4| - 7| < 5
- 5 < |x - 4| - 7 < 5
0 < |x - 4| - 2 < 10
|x - 4| - 2 > 0 and |x - 4| - 2 < 10
Case 1: |x - 4| - 2 > 0
|x - 4| > 2
x - 4 > 2 and x - 4 < - 2
x > 6 and x < 2
Case 2: |x - 4| - 2 < 10
|x - 4| < 12
x - 4 < 12 and x - 4 > - 12
x < 16 and x > - 8
The solution of the inequality is (x > - 8 and x < 2) or (x > 6 and x < 16).
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A box of chocolates contained 12. 5% caramels. There were 5 caramels in the
box. How many pieces of chocolate are in the box?
A. There are 63 pieces of candy in the box.
B. There 8 pieces of chocolate in the box.
C. There are 40 pieces of chocolate in the box.
D. There are 4 pieces of chocolate in the box
The box of chocolates which contain 12.5% caramels has C. 40 pieces of chocolate in the box.
To solve this exercise the percentage formula and the procedure to be applied is as follows:
n= (% * nt) / 100
Where
% = percentagen= number portionnt = total of the number portionInformation about the problem:
% = 12.5%n = 5nt =?Using the percentage formulate and isolating the total of the number portion (nt), we get:
n= (% * nt) / 100
nt = (n*100) / %
nt = (5 * 100) / 12.5
nt = 40
C. There are 40 pieces of chocolate in the box.
What is a percentage?Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.
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To rent a bike (r), kyre pays the flat rate of 5 pesos plus an hourly rental fee (f) of 2 pesos and 50 centavos
The cost of renting the bike will rise at a rate of (B) $2.5 per hour as the number of rent hours increases.
What is a linear function?A linear function represents a straight line on the coordinate plane.The slope of a linear function is always the same and constant.A linear function, in other words, is one that varies linearly with respect to a changing variable.To find what is the rate of change in the cost to rent the bike with respect to the number of rent hours:
The rate of change is also known as the function's slope.Because it is a linear function, the slope will be constant.Slope = difference in ys coordinate/difference in xs coordinateSlope = (30-5)/(10-0) = 2.5Therefore, the cost of renting the bike will rise at a rate of (B) $2.5 per hour as the number of rent hours increases.
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The correct question is given below:
To rent a bike, Max pays a flat rate of $5 plus an hourly rental fee. The graph shows the amount, C, in dollars, that Max pays based on the number of hours, t, that Max rents the bike. What is the rate of change in the cost to rent the bike with respect to the number of rental hours?
(A) $5 per hour
(B) $2.50 per hour
(C) $2 per hour
(D) $7.50 per hour
Your friend took an introductory statistics class last year and learned all about density curves. she tells you that two requirements of a density curve are:______.
The required requirement of the density curve is should be equal to 1 and the ordinate should not be zero.
Given that,
Two requirements of a density curve are to be determined.
A density curve is defined as a curve on a graph that represents the distribution of values in a dataset.
Here,
The two requirements of a density curve should be,
a. The area under the density curve should be equal to 1.
b. The ordinate of the curve should not be zero i.e. they should always have the vertical height.
Thus, the required requirement of the density curve is mentioned above.
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26. Paul had 3 7/8 cups of milk. He gave 1 %4 cups of milk to his cat. How much milk did he have left?
HELP PLEASE!!! :( .
Answer: The cat has left over the milk is 3.625 cups
Step-by-step explanation:
Amount of cups of milk=3(7/8) cups
That means, 3(7/8) cups= 31/8 cups
Amount of milk cat gave=1/4 cups
The amount of left over the milk :
Subtract with this values
=(31/8) -(1/4)
=3.875-0.25
=3.625
The cat has left over the milk is 3.625 cups
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what property is illustrated by the statement 2/3 x 3/2 =1
Answer:
Multiplicative inverse or reciprocal.
Step-by-step explanation:
Multiplicative inverse or reciprocal.
Lesson Performance Task
The sun is an excellent source of electrical energy. A field
of solar panels yields 16.22 Watts per square feet. Determine
the amount of electricity produced by a field of solar panels
that is 305 feet by 620 feet.
Answer:
electricity produced will be 3067202 watt
Step-by-step explanation:
solar panels yields 16.22 Watts per square feet
area of field= 305*620 [area=length*breath]
=189100
electricity produced will be
189100*16.22
=3067202 watt
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2 1/7 + 3/7(3x-5)=-4
Answer:
Answer 2 1/7 +3/7(3x-5)= -4
2 1/7 + 9/7x-15/7= -4
0+ 9/7x = -4
x= -28/9
Step-by-step explanation:
Which of these choices are square roots of 100? chewhich of these choices are square roots of 100? check all that apply. ck all that apply. 100^1/2 10 -10 50 -50 -100^1/2 pleaseeeee
245 fraction is 7 50 time 128 frction is 53 100
Answer: 116 61/100 miles
Step-by-step explanation: Road trip is 245 7/50 miles long
They have already driven 128 53/100
Those are mixed fraction. To facilitate the calculation, we should transform them into improper fractions (numerator > denominator)
245 7/50 = (50*245+7)/50 = 12257/50
128 53/100 = 12853/100
To find out much farther they have to drive, we need to subtract how much they have already driven to the total lenght of the trip:
12257 - 12853 = 24514 - 12853 = 11661
50 100 100 100
They still have 11661/100 to drive. In mixed fraction:
116 61/100 miles
express
the speed
10m
per second as
km per hour
10 m/s can be expressed as 36km/h.
Here, we are given an expression for speed, that is: 10 meter per second.
Now, as per the rules of mathematics,
1 kilometer = 1000 meters
⇒ 1 meter = 1/1000 kilometers
or 1 meter = 0.001 kilometers
and also, 1 hour = 60 mins
and 1 min = 60 seconds
⇒ 60 mins = 60 × 60 seconds
= 3600 seconds
Thus, 1 hour = 60 mins = 3600 seconds
⇒ 1 second = 1/3600 hours
Now, we need to convert meter per second into kilometer per hour,
1 meter/ 1 second = [tex]\frac{0.001}{\frac{1}{3600} }[/tex]
= (0.001 × 3600)/ 1
= 3.6
This 1 meter per second = 3.6 kilometer per hour
⇒ 10 meter per second = 3.6 × 10 = 36 kilometers per hour
Thus, 10 m/s is 36km/h.
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9. (6x +12) -2(x-7)= 19
Answer: x=-1.75
Step-by-step explanation:
(6x +12) -2(x-7)= 19
6x+12-2x-(-14)=19
6x+12-2x+14=19
6x-2x+12+14=19
4x+26=19
4x+26-26=19-26
4x=-7
x=-7/4
x=-1.75
Which polynomial does not have an absolute maximum?
A. 2nd degree
B. 3rd degree
C. 4th degree
Reason:
Odd degree polynomials do not have an absolute max nor absolute min. The curve stretches forever upward and downward. The range is the set of all real numbers.
Even degree polynomials on the other hand do have a highest point or lowest point, depending on the leading coefficient. If the leading coefficient is negative, then the curve has a highest point. If the leading coefficient is positive, then the curve has a lowest point.
Example: y = x^3 does not have an absolute max, but y = -x^2 does.
Find, in gradient-intercept form, the equation of a line which has:
a gradient of -4/5 and which passes through (4,-2)
The gradient is -4/5, so the equation is of the form
[tex]y=-\frac{4}{5}x+c[/tex]
Substituting in the coordinates (4, -2),
[tex]-2=-\frac{4}{5}(4)+c \\ \\ c=\frac{6}{5} \\ \\ \therefore y=-\frac{4}{5}x+\frac{6}{5}[/tex]
through: (1, −5), parallel to` y = −8x +4
Answer: y=-8x+3
Step-by-step explanation:
Parallel lines have the same slope.
y=-8x+b
-5=-8(1)+b
-5=-8+b
b=3
y=-8x+3
Chelsea is making a necklace she uses 6 blue beads for every 1 silver bead complete the table to show the ratio of blue beads to silver beads?
Answer: 12:2, 18:3, 24:4
Step-by-step explanation: You can multiply 6 by 2, 3, and 4 because the graph has 4 columns. Then multiply the top by 2, 3, and 4,
A rectangle garden has a length of 5 less than 2 times the width. the perimeter if 50 meters. what are the side lengths?
The length of the rectangle garden is 15 meters and the width of the rectangle garden is 10 meters.
Perimeter of the rectangle:
Perimeter of the rectangle is defined as the total distance covered by its boundaries or the sides. Since there are four sides of a rectangle, thus, the perimeter of the rectangle will be the sum of all four sides.
The formula for perimeter of the rectangle is,
P = 2 (a + b) units
where
“a” is the length of the rectangle
“b” is the breadth of the rectangle
Given,
A rectangle garden has a length of 5 less than 2 times the width.
The perimeter if 50 meters.
Here we need to find the side lengths of the rectangle garden.
Let w be the width of the garden.
According to the given details, the length is
l =2w - 5
Now apply the values on the perimeter formula,
Then
=> 2 ((2w - 5) + w) = 50
=> 2 (3w - 5) = 50
=> 3w - 5 = 25
=> 3w = 30
=> w = 10 meters.
Apply the value of width on the equation to find the length of the garden.
=> l = (2 x 10) -5
=> l = 20 - 5
=> l = 15 meters.
Therefore, the length of the garden is 15 meters and the width of the garden is 10 meters.
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what is 1408 rounded to the nearest hundredth
Answer:
It would still be 1408
Step-by-step explanation:
There are no decimal points to round to the nearest hundreth
Answer:
1408.00
Step-by-step explanation:
1408.00 ==>the underlined digit which is 1 digit away from the decimal is the hundredth digit.
Find each product mentally using the Distributive Property. Show the steps that you used. For 6x13 in distributive property
Using Distributive Property, the product of 6x13 is 78.
What is Distributive property?
The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.
The steps of distributive property are -
6 × 13
6 × (10 + 3)
(6 × 10) + (6 × 3)
((3 + 3) × (5 +5)) + ((3 + 3) × 3)
(3 × 5 + 3 × 5 + 3 × 5 + 3 × 5 ) + ((3 × 3) + (3 × 3))
(15 + 15 +15 + 15 ) + (9 + 9)
60 + 18
= 78
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The velocity (v metres per second) of a body is known to be proportional to the square root of its kinetic energy (e joules). When the velocity of a body is 120 m/s, its kinetic energy is 1600 J.
a) Write down a relationship between v and e, using k as the constant of proportionality.
b) Calculate the value of k.
c) If v = 21, calculate the kinetic energy of the body in joules.
Answer: Find step-by-step Probability solutions and your answer to the following textbook question: The velocity (v metres per second) of a body is known to be proportional to the square root of its kinetic energy (e j.) I don't know if this will help
Step-by-step explanation:
