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3 years ago

What is the answer to (8x+5)^2=63? I've been stuck on this problem for about 10 minutes now.

1 answer:

8 0

When the equation is squared, you have to foil (8x+5), so it becomes
(8x+5)(8x+5)=63

then you use the distributive property, so it become 64x^2 +40x +40x +25, and you simplify that into 64x^2+80x+25=63

next you subtract 63 from the left, sso it becomes 64x^2+80x-38=0
then you use the quadratic formula -b+/- (root b^2-4ac )/2a to solve for the zeros or x-values

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A polar bear swims 390 meters at a constant rate in 150 seconds. what is the speed of the polar bear?

worty [1.4K]

The answer is 2.6 m/s

The speed (v) is distance (d) through time (t).
v = d/t

We know:
d = 390 m
t = 150 s

v = d/t
v = 390 m / 150s
v = = 2.6 m/s

5 0

3 years ago

Anna has a 30-year, 5.75% mortgage on her $250,000 home. She has been

poizon [28]

Answer:

Her new monthly payment is now $1,378.91¢

Step-by-step explanation:

For us to calculate the new monthly mortgage payment that Anna will start paying from now on, we need to input the formula for calculating monthly mortgage payments.

The formula is:-

$M = P [\frac{r(1+r)^{n} }{(1+r)^{n}-1}]$

Where M is the monthly mortgage payment.

P is the principal

r is the monthly interest rate calculated by dividing your annual interest rate by 12

n is the number of payments(the number of months you will be paying the loan).

In this case, the new principal that Anna must pay back is $231,905.47¢. The annual interest rate has been reduced to 5.17% from 5.75% so the new monthly interest rate will be obtained by dividing the new annual interest rate by 12

= 5.17%/2

= 0.431%

This is the new monthly interest rate.

Since she has been paying her mortgage loan diligently for 5 complete years. It means she now has just 25 years to complete the payment. If 12 months make up one year, then there are - 12 × 25 = 300 more months to go.

300 is therefore "n" that is required for the calculation.

All the terms needed for the calculation of her new monthly mortgage is now complete.

P = $231,905.47¢

r = 0.431%

n = 300

$M = 231,905.47[\frac{0.00431(1+0.00431)^{300} }{(1+0.00431)^{300} -1}]$

$= 231,905.47[\frac{0.00431(3.634)}{2.634}]$

= 231,905.47 × 0.005946

M = $1,378.91¢

Therefore her new monthly mortgage payment will become $1,378.91¢

4 0

3 years ago

Read 2 more answers

Can you help me with this please???

11111nata11111 [884]

Answer:

Step-by-step explanation:

divide 14 by 4 to solve it, you get 3.5 or 3 1/2

6 0

2 years ago

You are asked to draw a triangle using three of the following angles: 0°, 30°, 45°, 55°, 60°, 80°, 90°, 105°. Which triangle can

mart [117]

The answer is D. All you have to do is add all of the angles for each choice you're given. It has to add up to exactly 180, because every triangle is 180 degrees.

4 0

3 years ago

Ann is using a recipe that serves 20 people. The recipe requires 1/2 of a cup of sugar. How many cups of sugar does Ann need to

nikitadnepr [17]

Answer:

Step-by-step explanation:

x/70=0.5/20

x=35/20

x=1.75

Ann will need 1.75 cups of sugar.

8 0

3 years ago