The total interest earned at the end of first year is $250 and the percentage of interest for his total investment is 6.25%.
Given, Chau invested his money by purchasing the following:
a certificate of deposit for $1000 at the rate of 2% per year, and
corporate bonds for $3000 at the rate of 7% per year.
we know that simple interest is calculated by multiplying the amount invested P by the interest rate r times the number of years invested t.
therefore, I = P × r × t
a. The first investment has a principal of P = $1,000, r = 2% = 0.02, t = 1 yr
I₁ = 2000 × 0.04 × 1
I₁ = 40
The second investment has a principal P = $3,000, interest rate r = 7% = 0.07 and time t = 1yr
I₂ = 3000 × 0.07 × 1
I₂ = 210
Therefore, total interest = I₁ ₊ I₂
= 40 ₊ 210
= $250
b. The overall rate of interest can be found by dividing:
Total interest/Total amount invested × 100
= 250/(1000 ₊ 3000) × 100
= 250/4000 × 100
= 25/4
= 6.25%
Hence we get the total interest earned at the end of first year as $250 and its overall rate of interest as 6.25%
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Your question was incomplete. Please find the missing content here.
Last year, Chau invested his money in two purchases. He purchased a certificate of deposit for $1000 that paid 2% interest per year and purchased $3000 in corporate bonds paying 7% interest per year.
(a) What was the total investment earned at the end of 1 year?
(b) What was the percentage interest for her total investment?
solving factors finding answers for a b c and d
Step-by-step explanation:
a is 5, b is 24, c is 2 and d is 2
The formula for potential energy is p=mgh, where p is potential energy, m is mass , g is gravity and h is height . Which expression can be used to represent g
Answer:
g is the acceleration due to gravity.
if right please mark me brainliest
please help its due tomorrow!!! Dont mind the coloring i was trying to do it but gave up. ☹️ Will give brainliest and 100 pts!
Answer:
the option Si mark as light green are correct
9+10=?????????? PLease tell Me!
Answer:
19
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
9+10=19.
Add 9 to 10.
It's 19.
Man, that's so hard!
Even I had to use a calculator.
An angle measures 26° more than the measure of its complementary angle. What is the
measure of each angle?
and
Answer:
An angle measures 26° more than the measure of its complementary angle.
Step-by-step explanation:
You have compared the obtained value with the critical value. what do you do next?
The null hypothesis is a typical statistical theory which suggests that no statistical relationship and significance exists in a set of given single observed variable, between two sets of observed data and measured phenomena.
Critical value is a cut-off value that is used to mark the start of a region where the test statistic, obtained in hypothesis testing, is unlikely to fall in. In hypothesis testing, the critical value is compared with the obtained test statistic to determine whether the null hypothesis has to be rejected or not.
So, when we compared the obtained value with the critical value then after that Reject the null hypothesis if the obtained value is more extreme than the critical value.
and, If the value of the test statistic is less extreme than the critical value, then the null hypothesis cannot be rejected.
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someone pls explain what is adding and subtracting whole numbers
Numbers without fractions are referred to as "whole numbers," and they are made up of positive integers and zero. It is denoted by the letter "W," and its corresponding set of numbers are 0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12,..
A mathematical procedure called addition symbolizes adding objects t to a larger collection. The plus sign ( + ) is used to denote it.
Some examples of the addition of whole numbers is:
1 + 8 = 9
10 + 19 = 29
A mathematical operation known as subtraction symbolizes the process of determining the difference between two numbers or units. The negative sign is used to denote it ( - ).
An example of subtraction of whole numbers is:
10 - 2 = 8
40 - 25 = 15
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please help me!! i have no clue
Answer:
Step-by-step explanation:
someone help me!!!
please...
Answer:students are the independent because he will get a number of cards depending on how many students there are so its
s independent and c dependent
Step-by-step explanation:
Answer:
s = independent
c = dependent
The number of cards depends on the number of students in his class.
Hope this helps :)
Given an Algebraic Expression: 8x³y - 11x²y² + xy³ +17.
1.1. What is the name of the algebraic expression?
Answer: The name of the algebraic expression is polynomial.
Step-by-step explanation: An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations .
A binomial expression is an algebraic expression which is having two terms, which are unlike. Examples of binomial include 5xy + 8.
similarly;
algebraic expression which is having only one term is known as a monomial. example: 5x,10y.
an expression with more than one term with non-negative integral exponents of a variable is known as a polynomial.
example: 8x³y - 11x²y² + xy³ +17.
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Answer:
Step-by-step explanation: algebric expression of degree4.
What is 17.1936 to the hundredths place?
Answer:
9
Step-by-step explanation:
The number 9 is in the hundredths place!
From left to right starting from the right side of the decimal, it goes tenths, hundredths, thousandths, etc!
Louie's recipe requires four eggs for every eight cups of flour. How
many eggs will she need if she uses twelve cups of flour?
SHOWS ME EVERY STEP PLS NEED TO SHOW MY WORK FOR HW!
the ice cream shop has 10 flavor of ice cream, how many different two-scoop ice cream cones can you make?
90 different two-scoop ice cream cones we can make.
What do we mean by permutations and combinations?Permutations and combinations are the various ways in which objects from a set can be selected, generally without substitute, to form subsets. When the order of selection is a factor, this selection of subsets is called a permutation; when order is not a factor, it is called a combination.To find how many different two-scoop ice cream cones can you make:
We're picking two flavors out of ten, so we'll use [tex]\left(\begin{array}{c}10 \\2\end{array}\right)=45[/tex] different two-scoop cones.This time, there are more cones that were previously excluded, and we use permutation:[tex]\frac{10 !}{8 !}=90[/tex]Therefore, 90 different two-scoop ice cream cones we can make.
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which of the relations represent y as a function of x
For given relations, relation (1) and relation (3) represent y as a function of x.
And relation (2) does not represent y as a function of x.
In this question, we have been given some relations.
We need to determine which relations represent y as a function of x.
We know that a relation is function when there is unique output for each input.
Consider the first relation.
y = -3.4x
For each value of x there's unique and distinct output. Here x can take any real value.
so, the above relation is a function.
Consider the second relation.
We can observe that, for x = 1 there are two outputs i.e., y = 1 and y = -1.
Similarly for x = 4, there are two outputs y = 2 and y = -2.
this means, the second relation is not a function.
Now, consider the last relation.
From this graph we can see that from x = -∞ to x = ∞, there are unique outputs.
So, above graph represents a function.
Also, by vertical line test, the graph represents a function.
Therefore, for given relations, relation (1) and relation (3) represent y as a function of x.
And relation (2) does not represent y as a function of x.
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Go step by step to reduce the radical.
√216
Answer: 6√6
Step-by-step explanation:
√216=
√(36*6)=6√6
Evaluate the expression when b = -2 and x = 4.
b-3x
Answer:
- 14
Step-by-step explanation:
You can substitute the given values into the expression.
b - 3x
= -2 - 3(4)
= -2 - 12
= - 14
Hope this helped! ^^
Answer:
give the other person the brainliest the answer is -14
Step-by-step explanation:
I need help! Ignore the stuff on top and bottom
Answer:
Starting from the left, the points are plotted as:
-4.5, -√16,-4, √1, 80/25, 7/2.
Find the value of the ratio (red to blue) of the perimeters of the similar figures. Write the ratio as a fraction in simplest form.
Answer:
9/7
Step-by-step explanation:
9 red for every 7 blue can't be reduced
Which probability value indicates that there is statistical significance? 0.0345 0.4595 0.9534 0.9967
The probability value indicates that there is statistical significance in 0.0345 option (a) is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
As we know,
Statistical significance is commonly defined as a probability value of 0.05 or even less. P-value can be used in replacement of or in addition to preset levels of confidence when testing the claim.
The value 0.0345 < 0.05
The probability value of 0.0345 indicates that there is statistical significance
Thus, the probability value indicates that there is statistical significance in 0.0345 option (a) is correct.
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A commuter train travels 50 kilometers in 43 minutesWhat is speed in kilometers per hour?
Answer:
70.42 kilometers.
Step-by-step explanation:
43 minutes/60 minutes (1 hour is 60 minutes) = 0.71 hours.
Now we set up a problem here.
50 kilometers/0.71 hours = x kilometers/1 hour
We multiply out 1 hour and cancel out from both sides.
50/0.71 kilometers = 70.42 kilometers.
Therefore, the train was traveling at 70.42 kilometers per hour.
In a recent year, 17.3% of all registered doctors were female. If there were 41,400 female registered doctors that year, what was the total number of registered doctors?
Round your answer to the nearest whole number.
Answer: 239,306 total registered doctors
Step-by-step explanation:
1. Form the ratio of amount of female doctors(41,400) to total amount of doctors(x) and compare it to percent of female doctors in the field(17.3) to total percent of doctors(100).
[tex]\frac{41400}{x}=\frac{17.3}{100}[/tex]
2. Cross Multiply the amount of female doctors(41,400) to the total percent of doctors(100) so that it stays equal to the percent of female doctors(17.3) to the amount of doctors(x).
[tex]41400*100 = 17.3x[/tex]
3. Simplify
Start by multiplying the amount of female doctors(41,400) by the total percent(100) to get 4.240.000 to keep both sides equal[tex]414*10^{4} = 17.3x[/tex]Then apply the division property of equality by dividing both sides of the equality by the percent of female doctors to the amount of doctors(17.3).[tex]\frac{414*10^{4} }{17.3} = \frac{17.3x}{17.3}[/tex]
After dividing both sides by 17.3 you will find out that there are about 239,306 registered doctors.in a group of 60 people, 27 like cold drinks and 42 like hot drinks and each person likes at least one of the two drinks. how many like both coffee and tea?
Answer:
9
Step-by-step explanation:
What is the answer for7 x 21.6
Answer:
the answer is 151.2
Step-by-step explanation:
Answer:
151.2
Step-by-step explanation:
20+1+.6
20 x 7= 140
1 x 7 = 7
.6 x 7 = (6 x 7 then move the decimal over) 4.2
140+7+4.2=
151.2
What are mathematical formulas placed in software that performs an analysis on a dataset?
Algorithms are the mathematical formulas placed in software that performs an analysis on a dataset.
What is an algorithm?An algorithm in math is a procedure, a description of a set of steps that can be used to solve a mathematical computation.
Now,
The mathematical formulae are placed in a software for analysis in order to obtain results.For this process, an algorithm is followed, with the help of which, the results are derived and obtained.Hence, Algorithms are the mathematical formulas placed in software that performs an analysis on a dataset.
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0.(3)= answer please
After multiplying 0, 3 times and following the laws of exponents, the value yielded is 0.
What is the law of exponents?
There are varied exponent laws in mathematics. Numerous fine problems that involve repeated addition operations can be answered using all of the exponentiation principles. The principles of exponents make addition and division processes simpler and make it easier to answer issues. The six significant rules of exponents will be covered in this composition along with multitudinous worked-out exemplifications.When multiplying a number by itself constantly, exponents are employed to illustrate this. For the case, 73 can be used to represent 7 x 7 x 7. The exponent, in this case, is" 3," denoting how numerous times the number 7 has been multiplied. Then, the number that's actually being multiplied is 7, which serves as the base.
Given that,
[tex]0^3[/tex] , Expanding it following laws of exponents,
We get,
0*0*0=3
Therefore, [tex]0^3=0[/tex].
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What is the value of (2.4)3?
Answer: 7.2
Step-by-step explanation: 2.4(3) is really just 2.4 * 3 so 2.4 times 3 is 7.2.
Answer:
13.824
Step-by-step explanation:
Raise 2.4 to the power of 3.
*PLS HELP*
Chris buys p pairs of pants and 4 more shirts than pairs of pants. Shirts cost $13 each and pairs of pants
cost $27 each. What does each term in the expression 27p + 13(p+4) represent? What does the entire
expression represent?
The term 27p represents the (select)
The term 13(p+4) represents the (select)
The expression 27p +13(p+4) represents the (select)
Answer:
The term 27p represents the total cost in dollars of pants
The term 13(p+4) represents the total cost in dollars of shirts
The expression 27p+13(p+4) represents the overall cost in dollars of the shirts and pants Christ buys
Step-by-step explanation:
Disclaimer: if the owner can include the options, I can give a better answer.
We know each pair of pants is $27. Since each pair of pants costs $27, we can say the total cost in dollars of pants is equal to 27*P. For each pair of pants Chris buys, he buys 4 shirts. P+4 is the total number of shirts Chris will buy. The price of these shirts in dollars is $13. So we can assume the total cost in dollars of shirts will be 13(P+4). The total expression is the total amount in dollars Chris spends.
Johnny wants to buy a box of
donuts. The donuts normally cost
$12 dollars but they are on sale for
10% off. What is the sale price for
the donuts? Please I need help
Answer:
$1.20
Step-by-step explanation:
if the donuts normally cost 12 dollars, but they are on on sale for 10% off, then all you have to do is divide 12 by 10.
12 ÷ 10 = 1.2
since we are working with money, we need to add a 0 at the end to make it 1.20, since you need 100 cents to make a dollar.
another way you could write the equation is,
10% × 12 = 1.2
1.2 = 1.20
hence, the sale price for the donuts is $1.20
Step-by-step explanation:
Hope it helps!
Find true square numbers that add to 125.There are two ways to do this.
Please tell me those two ways!
Answer:
One solution is 64, 36, and 25
Another method is 25+36+64
Step-by-step explanation:
Can you draw the shape and tell me the correct coordinate points?
Answer:
P(-3,6), Q(-6,3), R(0,3)
