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3 years ago

Enter your answer and show all the steps that you use to solve this problem in the space provided.

Mathematics

1 answer:

zheka24 [161]3 years ago

5 0

Answer:

Step-by-step explanation:

Since two triangles are similar

AB/PQ=BC/QR=AC/PR

10/20=4/X

10X=20×4

10X=80

X=80/10

X=8

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How do you find the equation of the axis of symmetry on a quadratic graph

andrew-mc [135]

It is the line of symmetry of a parabola and divides a parabola into two equal halves that are reflections of each other about the line of symmetry.

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

Danny charges $35 for 3 hours of swimming lessons.Martin charges $24 for 2 hours of swimming lessons. Who offers a better deal?

astraxan [27]

Martin offers a better deal because you only have to pay 48 dollars unlike with Danny where you have to pay 105 dollars just for a 3 hr. lesson.

7 0

3 years ago

In a box, 1/4 of the beads are red, 3/5 of the remainder are yellow, and the rest are blue. If there are 48 blue beads, how many

Andrei [34K]

Answer:

160 total beads

Step-by-step explanation:

so if 1/4 of the beads are red, then 3/4 of them are not.....so 3/4 is the remainder of beads.....and 3/5 of the remainder are yellow....so 3/5 of 3/4 =

3/5 * 3/4 = 9/20...so 9/20 are yellow.....and the rest (48) are blue.

1/4 + 9/20 = 5/20 + 9/20 = 14/20 reduces to 7/10...so 7/10 of the beads are red and yellow

so if 7/10 of the beads are red and yellow, then 3/10 are blue

3/10 of what number is 48

3/10x = 48

x = 48 * 10/3

x = 480/3

x = 160

let me check it..

1/4 are red......160 total beads.....so red beads = (1/4 * 160) = 160/4 = 40

3/5 of the remainder is yellow.....so 3/5 of (160 - 40) = 3/5(120) = 72 yellow

and then u have 48 blue...

40 + 72 + 48 = 160

so there are 160 total beads.......40 red, 72 yellow, and 48 blue <===

6 0

3 years ago

The product of -2 and a number x is greater than 30 Write the word sentence as a inequality, then solve inequality, thank you!

anygoal [31]

-2x > 30

x > -15 (??)

7 0

3 years ago