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Ludmilka [50]
4 years ago
9

Find volume for this shape

Mathematics
1 answer:
3241004551 [841]4 years ago
8 0
1,036 M. 
mark as brainliest?
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NO LINKS!!! Kim invested $5000 in Mutual fund at 6% compounded quarterly. Write an equation to represent this situation. When wi
Ira Lisetskai [31]

Answer:

Equation is  A = 5000(1.015)^(4t)

Her investment will be worth $10,000 in about <u>11.63888 years</u>

Rounding up to the nearest whole number gets to <u>12 years</u>

==========================================================

Explanation:

Part 1) Finding the equation

The compound interest formula is

A = P(1+r/n)^(n*t)

Here are the variables

  • A = final amount
  • P = starting amount, or deposit, or principal
  • r = interest rate in decimal form
  • n = number of times money is compounded per year
  • t = number of years

In this case,

  • P = 5000
  • r = 0.06 from the 6% annual interest
  • n = 4 times a year is the compounding frequency
  • t = unknown amount of time

Therefore, the equation is

A = P(1+r/n)^(n*t)

A = 5000(1+0.06/4)^(4t)

A = 5000(1.015)^(4t)

The decimal value is exact.

--------------------------

Part 2) Let's plug in A = 10,000 and solve for t.

You'll need to use logarithms to isolate the exponent.

A = 5000(1.015)^(4t)

10,000 = 5000(1.015)^(4t)

10,000/5000 = (1.015)^(4t)

2 = (1.015)^(4t)

Log[ 2 ] = Log[ (1.015)^(4t) ]

Log(2) = 4t*Log( 1.015 )

4t = Log(2)/Log(1.015)

4t = 46.5555256308062

t = 46.5555256308062/4

t = 11.6388814077015

t = 11.63888

It takes about 11.63888 years for the investment to reach $10,000.

Therefore, at the 12 year mark is when the investment is more than $10,000.

7 0
2 years ago
Read 2 more answers
Please help ASAP!!!!
ale4655 [162]

Answer:

Step-by-step explanation:

Going down by each column it would be 7,17,24

The next column 12,13,25

Next column 19,30,49

6 0
3 years ago
A shoe store marks up is merchandise by 8%. what was the selling price of a shoe whose whole price is $24.50?
Serjik [45]

Final price = whole sale price+ 8% whole sale price   24.50 +(8/100 × 24.50) 24.50 + 196=$ 26.46

8 0
3 years ago
Please help me!!!!!!
goldfiish [28.3K]

Answer:

False, there are no solutions

Step-by-step explanation:

y = 2x+4

y = 2x+10

The slopes are the same (2) but the y intercepts are different

These lines are parallel with different intercepts

They will never intersect so there are no solutions

3 0
3 years ago
Read 2 more answers
Can you please do 2 and 3
Masja [62]

Answers:

<h2>2. 17.5</h2><h2>3a. 6</h2><h2>3b. greater</h2><h2>3c. add 1 to it</h2>

Step-by-step explanation:

When rounding, look at the digit that is ls to the right beside the digit in the place value to round to. If the number is greater than or equal to 5, round the digit in the place value to round to up one. If it is less than 5, do not. Let's look at some examples.

EXAMPLE 1:

23.123 round to the nearest tenth.

23.<u>1</u>23 tenths place is underlined

Digit after tenths is bold. If greater than or equal to 5, round underlined digit up. If less than 5, don't change underlined digit.

The bold number is a 2, which is less than 5, so the underlined number doesn't change.

ANSWER TO EXAMPLE 1: 23.1

EXAMPLE 2:

57.54 round to the nearest whole number

5<u>7</u>.54 Nearest whole place value is underlined

Digit after underlined digit is bold. If greater than or equal to 5, round underlined digit up one. If bold digit is less than 5, don't change the underlined digit.

The bold number is a 5, which equals 5, so the underlined number increases by 1.

ANSWER TO EXAMPLE 2: 58

Now, let's examine yours, now that we know how to round

17.46 round to the nearest tenth

17.<u>4</u>6 tenths place is underlined

Digit after tenths is bold. If greater than or equal to 5, round underlined digit up by one. If bold digit is less than 5, don't change the underlined digit.

The bold number is a 6, which is greater than 5, so the underlined number increases by 1.

ANSWER TO QUESTION: 17.5

Hope this helped :)

<em>PLEASE MARK BRAINLIEST</em>

8 0
3 years ago
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