MATHEMATICS COLLEGE

Two brothers, Mark and Steven, each inherit $45000. Mark invests his inheritance in a savings account with an annual return of3.2 %, while Steven invests his inheritance in a CD paying 4.5 % annually. How much more money than Mark does Steven have after

1 year?

Answers

Answer 1
Answer:

Answer:

Steven ears $565 more in one year.

Step-by-step explanation:

Giving the following information:

Mark:

PV= $45,000

n= 1

i= 0.032

Steven:

PV= $45,000

n= 1

i= 0.045

To calculate the Future Value of each investment, we need to use the following formula:

FV= PV*(1+i)^n

Mark:

FV= 45,000*1.032= $46,440

Steven:

FV= 45,000*1.045= $47,025

Difference= 47,025 - 46,440= $565

Steven ears $565 more in one year.
Answer 2
Answer:

Final answer:

After investing their inheritance for one year, Steven has $585 more than Mark due to the higher interest rate of his investment.

Explanation:

After one year, the amount of money Mark and Steven have can be calculated using the formula for compound interest, which is P(1 + r) to the power of n, where P is the principal amount, r is the annual interest rate, and n is the time in years. So, Mark's future value would be $45000(1 + 0.032) = $46440. In contrast, Steven's future value would be $45000(1 + 0.045) = $47025. Therefore, Steven has $47025 - $46440 = $585 more than Mark after 1 year.

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{2xx = -6y12x + 12y = 0Solve the system of equations.

The product of y and 9

Answers

The expression for the product of y and 9 is 9y.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The product of y and 9.

This can be written as,

= 9y

Thus,

The expression is 9y.

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Answer:

9y

Step-by-step explanation: Product is also the same thing of multiplication so 9 x y equals to 9y.

~~~~Inuola1234

A 12 SIDED DIE WITH SIIDES LABLELED 1-12 ARE ROLLED ONCE. EACH NUMBER IS LIKELY TO BE ROLLED .WHAT IS THE PROBABILITY OF ROLLING A NUMBER GREATER THAN 10

Answers

Answer:

p=.1666

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Step-by-step explanation:

Solve and graph 8(p+3)>2(4p-1)

Answers

Was my answer correct...!?

Patients come into a medical clinic have a mean weight of 207.6 pounds with a standard deviation of 22.6 pounds. the distribution of weight is not assumed to be symmetric. between what two ways does Chebyshev's Theorem guarantee that we will find at least 95% of the patients? Round your answers to the nearest 10th

Answers

I know the answer it is 98.2

Answer: 105.9 lbs and 309.3 lbs

Step-by-step explanation:

By Chebyshev's Theorem, the proportion of patients with weights within 4.5 standard deviations of the mean is at least 95%.  Therefore k=4.5.

The weight that is 4.5 standard deviations less than the mean is 207.6−4.5(22.6)=105.9 pounds.

The weight that is 4.5 standard deviations greater than the mean is 207.6+4.5(22.6)=309.3 pounds.

So at least 95% of the patients have weights between 105.9 and 309.3 pounds.

What integer represents 5°F below zero

Answers

Answer:

-5 degrees farenheit

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Sofia bought a clothes iron that was discounted 15% off of the original price of $35. What was the sale price of the clothes iron?

Answers

Answer:

35 - 0.15 * 35 so it is $29.75

Step-by-step explanation:

I got u

Answer:

$29.75

Step-by-step explanation:

15% = .15

.15 x 35 = 5.25

35 - 5.25 = 29.75
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