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3 years ago

15

Tara's and Jody's bedrooms are shaped like rectangles. Tara's bedroom os 9 feet long and 8 feet wide. Jody's bedroom is 7 feet l

ong and 10 feet wide. Whose bedroom has the greater area

1 answer:

mihalych1998 [28]3 years ago

7 0

Jody bedroom area is A(j)=7*10=70 squared feet
Tara bdrm area is A(t)= 9*8=72 squared feet
Tara s bdrmis bigger

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Suppose you'd like to save enough money to pay cash for your next car. The goal is to save an extra $28,000 over the next 6 year

Anna35 [415]

Given:

• Amount to save, A = $28,000

,

• Time, t = 6 years

,

• Interest rate, r = 5.3% ==> 0.053

,

• Number of times compounded = quarterly = 4 times

Let's find the amount that must be deposited into the account quarterly.

Apply the formula:

$FV=P(\frac{(1+\frac{r}{n})^{nt}-1}{\frac{r}{n}})$

Where:

FV is the future value = $28,000

r = 0.053

n = 4

t = 6 years

Thus, we have:

$28000=P(\frac{(1+\frac{0.053}{4})^{4\times6}-1)}{\frac{0.053}{4}}$

Let's solve for P.

We have:

$\begin{gathered} 28000=P(\frac{(1+0.01325)^{24}-1}{0.01325}) \\ \\ 28000=P(\frac{(1.01325)^{24}-1)^{}}{0.01325}) \\ \\ 28000=P(\frac{1.371509114-1}{0.01325}) \\ \\ 28000=P(\frac{0.371509114}{0.01325}) \end{gathered}$

Solving further:

$28000=P(28.0384237)$

Divide both sides by 28.0384237:

$\begin{gathered} \frac{28000}{28.0384237}=\frac{P(28.0384237)}{28.0384237} \\ \\ 998.6=P \\ \\ P=998.6 \end{gathered}$

Therefore, the amount that must be deposited quarterly into the account is $998.60

ANSWER:

$998.60

8 0

1 year ago

1/2 is less or greater than 5/4

nalin [4]

Answer:

Step-by-step explanation:

1/2 is definitely less than 5/4. Try comparing

0.5 and 1.25; 0.5 is definitely less than 1.25.

Next time, please include all of the instructions.

7 0

3 years ago

Read 2 more answers

Two fair dice, one yellow and one blue, are rolled. The value of the blue die is subtracted from the value of the yellow die. Wh

mario62 [17]

Answer:

B) symmetric

Step-by-step explanation:

We will find the sample space for rolling two dices first

Here first value in ordered pair represents yellow die and second represents blue die

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)

The subtraction gives us:

0 , -1 , -2, -3, -4, -5, 1, 0, -1, -2, -3, -4, 2, 1, 0, -1, -2, -3, 3, 2, 1, 0, -1, -2, 4, 3, 2, 1, 0, -2, 5, 4, 3, 2, 1, 0

So the distribution will be as follows:

X 5 4 3 2 1 0 -1 -2 -3 -4 -5

P(X) 1/36 2/36 3/36 4/36 5/36 6/36 5/36 4/36 3/36 2/36 1/36

By observing the probabilities, we can conclude that the distribution will be symmetric

Hence, Option B is correct ..

4 0

3 years ago

Read 2 more answers

Which expression is NOT equivalent to -6 x (1/3 + 1/3)

Natalka [10]

A -6/3 + 1/3 I believe is the answer

6 0

2 years ago

Can yall help me????

Kryger [21]

Hi There!

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

Remember to follow PEMDAS.

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

Problem #1:

= (25 - 6.25) + (5 · 3)²

= (18.75) + (15)²

= 18.75 + 225

= 243.75

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

Problem #2:

= (8 + 3)² + 10 · (-4)

= (11²) + 10 · (-4)

= 121 + 10 · (-4)

= 121 + (-40)

= 81

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

Hope This Helps :)

3 0

3 years ago