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svet-max [94.6K]
2 years ago
6

Consider the two savings plans below. Compare the balances in each year after 14 years. Which person deposited more money in the

plan? Which of the two investment strategies is better?
Yolanda deposits $250 per month in an account with an APR of 4%, while Zach deposits $3000 at the end of each year in an account with an APR of 4%
Mathematics
1 answer:
zhuklara [117]2 years ago
3 0

The balance in Yolanda's saving plan after 14 years is; $9,455.36

<h3>How to calculate future value?</h3>

We want to find the balance in Yolanda's saving plan after 14 years.

For Yolanda;

PV = 0

PMT = 250

i% = 4%/12 = 0.33%

N = 14 yrs * 12 = 168

FV = ?

For Zach:

PV = 0

PMT = $3300

i% = 4%

N = 14 yrs

FV = ?

From online future value calculator, we have;

Yolanda FV = $9,455.36

Zach FV = $47,204.19

Read more about Future Value at; brainly.com/question/24703884

#SPJ1

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Please help m solve this it's about shaded areas. I need it fast. PLZ HELP THANK YOU IF YOU DO AND U R SO AMZING IF U DO&gt;
sukhopar [10]

A = area of the circle

A = pi*r^2

A = pi*11^2

A = 121pi

-----

B = area of the rectangle

B = length*width

B = 6*4

B = 24

-----

C = blue shaded area

C = A - B

C = 121pi - 24 which is the exact area in terms of pi

C = 356.1327 is what you'd get if you used a calculator

C = 356.13 is the result after rounding to the nearest hundredth

<h3>The final answer is 356.13</h3>
5 0
3 years ago
The sum of three numbers is 26. Twice the first minus the second is the third less 2. The third is the second minus 3 times the
Agata [3.3K]

Let a, b, c represent the three numbers. The problem statement gives rise to three equations:

  • a +b +c = 26
  • 2a -b = c -2
  • -3a +b = c

Adding the first two equations gives

... (a +b +c) +(2a -b) = (26) +(c -2)

... 3a +c = 24 +c . . . . . simplify

... 3a = 24 . . . . . . . . . . subtract c

... a = 8 . . . . . . . . . . . . divide by 3

Adding the second and third equations gives ...

... (2a -b) +(-3a +b) = (c -2) +(c)

... -a = 2c -2 . . . . simplify

... -6 = 2c . . . . . . add 2, substitute for a

... -3 = c . . . . . . . . divide by 2

Using the third equation we can find b.

... -3·8 +b = -3 . . . . substitute for a and c

... b = 21 . . . . . . . . .add 24

The numbers are 8, 21, -3.

_____

The method above is sort of "ad hoc", taking advantage of the numbers in this particular set of equations. You can use more formal methods of Gaussian elimination or Cramer's Rule to solve these by just following a procedure. Or, your graphing calculator can do it for you.

6 0
3 years ago
The product of a number and -8 gives eight times the sum of that number and 36. Find that number
Viefleur [7K]

Answer:

-18

Step-by-step explanation:

Let x be our number. First we have to write our equation.

The product of a number and -8 is represented as -8x (-8 multiplied by x). Remember that 'product' signifies multiplication.

The result is eight times the sum of x and 36. This is represented as 8(x + 36). We add x and 36 first because 8 has been multiplied by the sum of those two numbers.

So our equation is:

-8x = 8(x + 36)

We can now solve for x. First, expand the bracket.

-8x = 8x + 288

Next, subtract 8x from both sides. This will give us only one term containing x, which will make it easier to solve.

-8x - 8x = 8x + 288 - 8x

-16x = 288

Divide both sides by -16

x = -18

3 0
3 years ago
The sum of a number and 3 is equal to 5 less than double that number. What is the number?
Ganezh [65]

Answer:

sum of a number 2 plus3 is equal to 5

and less than its double 2×2=4 so the answer is 2

3 0
3 years ago
Read 2 more answers
A student pours water into a cup and places the cup in a freezer.After many hours ,the water will change from
Triss [41]
C. liquid to solid. 
When things get cooler, they go from gas to liquid to solid. If you know water is a solid, and you know it's cooling and changing states, then you can correctly infer that it is changing from a liquid to a solid. 
6 0
3 years ago
Read 2 more answers
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