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Oduvanchick [21]
3 years ago
10

The measure of a supplement of an angle is 15 degrees less than four times the measure of the complement. Find the measure of th

e angle.
Mathematics
1 answer:
Pepsi [2]3 years ago
5 0

Answer:

Let call the angle X

Its complement will be 90-x

Its supplement will be 180-x

(180-x)+15 = 4(90-x)

180-x+15 = 360-4x

4x-x = 360-180-15

3x = 165

x = 55

Prove

The complement of 55 is 35

And the supplement of 55 is 125

Now we must see if the relation stated holds

125+15 = 4(35)

125+15 = 140 The measure of the supplement of an angle is 15 degrees less than four times the measure of the complement.

140 = 140

Therefore the solution of the problem is given by an angle of 55 degrees.

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A storekeeper increased the price of hats by 5%. Write an equation to calculate the increase of the total cost, c, when the pric
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Answer:

c = 1.05p

Step-by-step explanation:

the price of the hat before the increase was 100%, after the increase it becomes 100 + 5% = 105%. Representing it as a decimal becomes 1.05p

Let illustrate with an example.

The price of a hat was $100, after the 5% increase. the cost of the hat becomes

100 + (0.05 x 100) = 105

To find the percentage increase

divide 105 by 100 and subtract 1

(105/100) - 1 = 1.05

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A segment has endpoints at (3,−4) and (3,−17) How many units long is the segment?
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A) y= -3.5x + 57.5<br>B) y= 3.5x + 57.5<br>C) y= -3.5x + 32.5<br>D) y= -3x + 57.5
spin [16.1K]
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Felipe borrowed $8000 at a rate of 16.5%, compounded monthly. Assuming he makes no payments, how much will he owe after 7 years?
Gelneren [198K]

Answer:

$25,193.17

Explanation:

Given:

• Principal Felipe borrowed, P=$8000

,

• Annual Interest Rate, r=16.5%=0.165

,

• Compounding Period, k=12 (Monthly)

,

• Time, t=7 years

We want to determine how much he will owe after 7 years.

In order to carry out this calculation, use the compound interest formula below:

A(t)=P\mleft(1+\frac{r}{k}\mright)^{tk}

Substitute the values defined above:

A(t)=8000\mleft(1+\frac{0.165}{12}\mright)^{12\times7}

Finally, simplify and round to the nearest cent.

\begin{gathered} A(t)=8000(1+0.01375)^{84} \\ =8000(1.01375)^{84} \\ =\$25,193.17 \end{gathered}

After 7 years, Felipe will owe $25,193.17.

3 0
1 year ago
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