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kenny6666 [7]
3 years ago
5

What is the slope and y-intercept of 5x+4y=16 Also put the equation in slope intercept form.

Mathematics
1 answer:
Arturiano [62]3 years ago
7 0
Y=mx+b
m=slope
b=y intercept
just solve for y


5x+4y=16
minus 5x both sides
4y=-5x+16
divide both sides by 5
y=(-5/4)x+4

slope=-5/4
y intercept is y=4
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Molly opened a savings account with a one‐time deposit of $100 that will be left in the account for at least 5 years. The saving
Anettt [7]

The amount of interest Molly will earn after 5 years on a deposit of \$100 compounded annually over 5 years is \$27.63

First, we need to find the future value of her investment, then we subtract the original deposit from it to get the amount of interest she will get at the end of 5 years.

The future value of an investment that is compounded annually is given by

A=P(1+r)^t

where

A=\text{Amount of money in Molly's account after 5 years}\\P=\text{Molly's initial deposit into her account}=\$500\\r=\text{The annual interest rate as a decimal}=0.05\\t=\text{The time the money is invested (in years)}=5

Substituting the available values into the formula and solving

A=100(1+0.05)^5=100(1.05)^5 \approx \$ 127.63

The interest Molly will earn after 5 years is

A-P=\$127.63-\$100=\$27.63

Therefore, the amount of interest Molly will earn after 5 years on a deposit of \$100 compounded annually over 5 years is \$27.63

Learn more about compound interest here: brainly.com/question/21270833

8 0
3 years ago
SOLVE STEP BY STEP !!!! answer correctly please !! Will mark brainliest !!!!!!!!!!!!!!
Mnenie [13.5K]

Step-by-step explanation:

(3X-20)+(3X+5)=111(( SINCE 111 IS TOTAL ANGLE

6X-15=111

6X=126

X=21

EFG=3×21-20

=63-20=43

8 0
3 years ago
Michael estimated his mass as 8 kilograms. Is his estimate reasonable. Justify your answer
saw5 [17]
No, a person weight on average anywhere from 40-80+kg depending on sex and build
3 0
3 years ago
I need help please! ​
Sophie [7]

Answer/Step-by-step explanation:

Area of trapezium = ½*(AD + BC)*AB

Area = 42 cm²

AD = (x + 8) cm

BC = (x + 5) cm

AB = x cm

Plug in the values into the equation

42 = ½((x + 8) + (x + 5))*x

42 = ½((x + 8 + x + 5)*x

42 = ½(2x + 13)*x

Multiply both sides by 2

42*2 = (2x + 13)*x

84 = 2x² + 13x

2x² + 13x = 84

Subtract both sides by 84

2x² + 13x - 84 = 0

4 0
2 years ago
A guy wire runs from the top of a cell tower to a metal stake in the ground. Marques places a 11-foot tall pole to support the g
astra-53 [7]

The Pythagorean theorem computed shows that the length of the guy wire, to the nearest foot, is 207 ft.

<h3>How to solve the length?</h3>

Here, we have two similar right triangles, ΔABE and ΔCDE.

CD = 11 ft

DE = 2 ft

BD = 35 ft

First, find AB:

AB/11 = (35 + 2)/2

AB/11 = 37/2

Cross multiply

AB = (37 × 11)/2

AB = 203.5 ft

Then, apply Pythagorean Theorem to find AE:

AE = √(AB² + BE²)

AE = √(203.5² + 37²)

AE = 207 ft

Therefore, the length of the guy wire is 207 ft.

Learn more about Pythagorean theorem on:

brainly.com/question/654982

5 0
2 years ago
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