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3 years ago

(1 pt)

Mathematics

1 answer:

Pepsi [2]3 years ago

5 0

1 goes with A

2 goes with C

3 goes with B

&4 also goes with A

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If an individual saves $5,700 and elects to place the total dollar amount into a savings account earning 2.75% APR compounded mo

Naddika [18.5K]

Answer:

$7,925.53

Step-by-step explanation:

We'll have to use the compound interest formula: A = P(1 + r/n)ⁿˣ

A = final amount (?)

P = starting amount (5700)

r = rate

n = times applied (12 since its monthly and there 12 months in a year)

x = years (12)

A = 5700(1 + 0.0275/12)¹⁴⁴

A = 7925.525498629932

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3 years ago

What is 23divided by 85.1

Mnenie [13.5K]

0.27027027027
hope it helps u

7 0

2 years ago

In an isosceles triangle, the vertex angle is 112 degrees. What is the measure of each base.

jeka94

Answer:

Step-by-step explanation:

The base angles of an isosceles triangle are congruent

The sum of the 3 angles in a triangle = 180°, hence

180° - 112° = 68°

base angle = $\frac{68}{2}$ = 34°

Thus each base angle equals 34° → A

8 0

3 years ago

What is an equation of the line that passes through (2,2) and is parellel to the line y=7x

laila [671]

Answer:

Therefore, equation of the line that passes through (2,2) and is parellel to the line $y=7x$ is $y=7x-12$

Step-by-step explanation:

Given:

a line $y=7x$

To Find:

Equation of line passing through ( 2, 2) and is parellel to the line y=7x

Solution:

$y=7x$ ...........Given

Comparing with,

$y=mx$

Where m =slope

We get

$Slope = m = 7$

We know that parallel lines have Equal slopes.

Therefore the slope of the required line passing through (2 , 2) will also have the slope = m = 7.

Now the equation of line in slope point form given by

$(y-y_{1})=m(x-x_{1})$

Substituting the points and so we will get the required equation of the line,

$(y-2)=7(x-2)=7x-14\\\\y=7x-12......Equation\ of\ line$

Therefore, equation of the line that passes through (2,2) and is parellel to the line $y=7x$ is $y=7x-12$

4 0

3 years ago

In △ABC, m∠A=39°, a=11, and b=13. Find c to the nearest tenth.

Talja [164]

For this problem, we are going to use the <em>law of sines</em>, which states:

$\dfrac{\sin{A}}{a} = \dfrac{\sin{B}}{b} = \dfrac{\sin{C}}{c}$

In this case, we have an angle and two sides, and we are trying to look for the third side. First, we have to find the angle which corresponds with the second side, $B$ . Then, we can find the third side. Using the law of sines, we can find:

$\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{B}}{13}$

We can use this to solve for $B$ :

$13 \cdot \dfrac{\sin{39^{\circ}}}{11} = \sin{B}$

$B = \sin^{-1}{\Big(13 \cdot \dfrac{\sin{39^{\circ}}}{11}\Big)} \approx 48.1$

Now, we can find $C$ :

$C = 180^{\circ} - 48.1^{\circ} - 39^{\circ} = 92.9^{\circ}$

Using this, we can find $c$ :

$\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{92.9^{\circ}}}{c}$

$c = \dfrac{11\sin{92.9^{\circ}}}{\sin{39^{\circ}}} \approx \boxed{17.5}$

c is approximately 17.5.

8 0

2 years ago