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Vikentia [17]
2 years ago
13

What is the range of possible sizes for side x

Mathematics
1 answer:
Dmitrij [34]2 years ago
4 0
I think it’s 1.4 but I’m not 100% sure
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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
11 months ago
Do i begin with division first?
lara31 [8.8K]
Use PEMDAS. Division comes before addition. start with 9/25 ÷ 18/15. You will divide those like you would normally divide a fraction, so yes, do the inverse of 18/15 and multiply that by 9/25. after you've done that, take that answer and add the 5/8 to it.
:)
5 0
2 years ago
Read 2 more answers
How many cubic yards of concrete are in a light pole caisson having a diameter of 24 inches and a
lesya [120]

Answer:

  • C. 0.7 yd³

Step-by-step explanation:

<u>Find the volume of cylinder:</u>

  • V = πr²h

<u>Convert the dimensions into yards:</u>

  • d = 24 inches = 24/36 yards = 2/3 yards ⇒ r = 1/2d = 1/2*2/3 = 1/3 yards
  • h = 6 feet = 6/3 yards = 2 yards

<u>Find the volume by substituting the values:</u>

  • V = 3.14*(1/3)²*2 = 0.69777 ≈ 0.7 yd³

Correct choice is C

3 0
2 years ago
If t= 9m,what is the area of the triangle <br><br> Help
Zigmanuir [339]
To get the area of the triangle you have to multiply 50x1 which is 50 and divide 50 divided by 2 which is 25 and that is he area of the angle
5 0
3 years ago
Tanya's boyfriend gave her a box of chocolates for Valentine's Day 3/4 of the chocolates were milk chocolate, 1/8 of them were w
Sholpan [36]
You do 3/4 times 16 = 48/4 and that simplified is 12. 16 times 1/8 is 16/8 or 2. There are 2 dark chocolates in the box.
6 0
3 years ago
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