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ella [17]
2 years ago
8

Two angles are supplementary. Which of the following equations can be used to find the value of the missing angle, x, if the oth

er angle is 98°?
Mathematics
1 answer:
Natali [406]2 years ago
6 0

Two angles are said to be supplementary if their sum is 180 degrees. So, if x and y are supplementary angles, the formula is

x + y = 180

We know that one of the angles (say x) is 98. So, the equation updates to

98 + y = 180

If we want to solve for the other angle, we can simply subtract 98 from both sides to get

y = 180-98 = 82

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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

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The formula for the volume of a sphere is. What is the formula solved for r?
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Answer:

r = \sqrt[3]{\dfrac{3V}{4 \pi}}

Step-by-step explanation:

V = \dfrac{4}{3}\pi r^3

\dfrac{4}{3}\pi r^3 = V

\pi r^3 = \dfrac{3V}{4}

r^3 = \dfrac{3V}{4 \pi}

r = \sqrt[3]{\dfrac{3V}{4 \pi}}

3 0
2 years ago
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