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3 years ago

Help pleaseeeeeeeeeeeeeeeeeeeeeeeee

Mathematics

1 answer:

tia_tia [17]3 years ago

5 0

Answer:

5x + 4 ≤ 15

Step-by-step explanation:

Since he has only $15, he cannot surpass this amount, BUT the items he purchase CAN equal the same amount so it'd look like this ≤ 15

$4 of jelly beans is a constant

$5 per pound is a variable : 5x

5x + 4 ≤ 15

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As part of your retirement plan, you want to set up an annuity in which a regular payment of $35,000 is made at the end of each

Finger [1]

Answer:

Option d)$401,447.24

Step-by-step explanation:

We are given that as part of your retirement plan, you want to set up an annuity in which a regular payment of $35,000 is made at the end of each year at rate of 6% compounded annually for 20 years

So first of all we need to find the future value of annuity using the formula as shown below :

$FV= p\frac{[(1+\frac{r}{n})^{(n)(t)}-1)]}{\frac{r}{n}}$

Here, FV = future value of annuity

p = $35000 (annual deposit)

r is rate = 6% = 0.06

n = number of compounding = 1 ( as we are compounding annually )

t = number of years = 20

So plugging in all the values in the formula , we get

$FV= 35000\frac{[(1+\frac{0.06}{1})^{(1)(20)}-1)]}{\frac{0.06}{1}}$

Simplifying further , we get

$FV= 35000\frac{[(1+0.06)^{20}-1)]}{0.06}$

Plugging in the given values in the calculator , we get

FV = $ 1287495.69

So far we have got the Total amount for annuity , from here we need to use the concept of compound interest and find the principal amount to be deposited to get the required total amount of $ 1287495.69

The formula for compound interest when compounded annually is given by:

$A=P(1+r)^t$

Here A = 1287495.69 (Total amount required)

P = ( principal amount to be deposited to meet the required total amount )

r = 6% = 0.06

t = 20

So plugging in all the known values in the formula , we get

$1287495.69= P(1+0.06)^{20}$

simplifying further, we get

$\frac{1287495.69}{(1.06)^{20}}= P$

so required amount to be deposited is given by :

P = $401,447.24

Hope it was helpful !:)

6 0

3 years ago

What is the formula for this?

zmey [24]

Hey there!

To find the area of a parallelogram, you multiply the length and the width together, the exact same method you would use to find the area of a rectangle or square.

The reason you would use the same area formula of a rectangle/square to find the area of a parallelogram would be that all rectangles are parallelograms (however, not all parallelograms are rectangles).
**Rectangles are a special kind of parallelogram: they are parallelograms with right angles formed in the corners of the figure.

Another thing to keep in mind is to imagine this: if you were to split the parallelogram from the top left corner straight down, you will get a triangular figure. If you were to move this triangular figure to fill in the right slanted part of the parallelogram, you would have a rectangle.

Now, to solve for the area. Because the formula is A=Base (or the length)*Height (or the width), you should have this expression:
A=20*27

This would simplify to 540 cm squared, which would be your answer.

Hope this helps and have a wonderful day! :)

8 0

3 years ago

(7•8) + 1/2 (3•3) 1/2(7•8)+1/2(3•3) (7•8)+(3•3) 1/2(7•8)+(3•3)

AfilCa [17]

Answer:4.5 for triangle + 56= 60.5 squuare units

Step-by-step explanation:

8 0

2 years ago

The ratio of Victors money to Susies money is 4:7 at first. After Victor spent half of his money and Susie spent $60, Susie had

valkas [14]

Answer:

Victor originally had $80

Step-by-step explanation:

Let Victor have $4x

Let Susie have $7x

Since Victor spent half his money, he now has $2x

Susie spent $60 and thus now has $(7x - 60)

The final ratio of Victor's money to Susie's money is therefore 2x : $(7x - 60). This is given 1:2. Now we just need to solve the proportion by cross-multiplying

2x : (7x - 60) = 1:2

1 × (7x - 60) = 2 × 2x

7x - 60 = 4x

3x = 60

x = 20

Therefore Victor originally had $4x = $80.

7 0

2 years ago

Read 2 more answers

The cube below is divided into 8 equal cubes and broken apart. What is the total surface area of all 8 cubes?

krok68 [10]

FORMULA:

TSA of cubes = 6(a)²

ANSWER:

We just have to plug the respective value.

So, TSA of 8 cubes = 6 × (12)²

6 × 144
864ft².

So, Correct choice - [C] 864 ft².

6 0

3 years ago