MATHEMATICS HIGH SCHOOL

Eli has $148 in the bank. He deposits $8 at the end of each week. Peyton has $260 in the bank. He withdraws $6 at the end of each week. How many weeks will it take for them to have the same amount in the bank?

Answers

Answer 1

Answer:

It would take 8 weeks for them to have the same amount in the bank.

$148 +$8 every week: $260 -$6 every week:

Week 1: $156 $254

Week 2: $165 $248

Week 4: $180 $236

Week 6: $196 $224

Week 8: $212 $212

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a landscaper is designing a flower garden in the shape of a trapezoid. she want to make to shorter base 3 yards greater than the height and the longer base 7 yards greater than the base. she wants the area 295 square yards. the situation is modeled by the equation h^2+5h=295. use the quadratic formula to find the height that will give the desired area
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Find the slope of the line whose equation is 4x - 6y = 8.a. 2/3b. -2/3 3/2

the length of a rectangle is 50 feet less than its width. If the perimeter of the field is 840 feet, find the length of the field.

Answers

$look\ at\ the\ picture\n\n2a+2(a-50)=840\n\n2a+2a-100=840\n\n4a-100=840\ \ \ /+100\n\n4a=940\ \ \ \ /:4\n\na=235\ (ft)\n\na-50=235-50=185\ (ft)\n\nAnswer:lenght=185\ ft;\ width=235\ ft.$

Complete the factorization.9g2 + 30g + 25 = (3g + _________ )2

3

15

5

10

Answers

If you would like to complete the factorization, you can do this using the following step:

9g^2 + 30g + 25 = (3g + 5) * (3g + 5) = (3g + 5)^2

The correct result would be 5.

What are the three elements to calculate simple interest

Answers

Simple interest is found by multiplying the amount of money deposited, the rate ( like .05 per month ) , and the time it will be in the bank ( one moth, 5 months, a year, etc. ).

I'm 1000% positive this is correct.

Hope I helped you learn something new today!

Find the area A of polygon ABCDEFG with the given vertices. A(0,5), B(2,5), C(2,3), D(3,2), E(1,2), F(0,3), G(−4,3)

Answers

The area A of polygon ABCDEFG with the given vertices is 10 square units

How to find the area A of polygon ABCDEFG with the given vertices?

The vertices are given as

A(0,5), B(2,5), C(2,3), D(3,2), E(1,2), F(0,3), G(−4,3)

The area of the polygon is calculated using

Area = 1/2 * |(x1y2 -x2y1) +(x2y3 -x3y2) + ..... + (xny -xyn)|

So, we have

Area = 1/2 * |(0 * 5 - 5 * 2) + (2 * 3 - 5 * 2) + (2 * 2 - 3 * 3) + (3 * 2 - 2 * 1) + (1 * 3 - 2 * 0) + (0 * 3 - 3 * -4) +(-4 * 5 - 3 * 0)|

Evaluate the sum of products

So, we have

Area = 1/2 * |-20|

Remove the absolute bracket

So, we have

Area = 1/2 * 20

Evaluate the products

So, we have

Area = 10

Hence, the area A of polygon ABCDEFG with the given vertices is 10 square units

Answers

LCM

10,000|2
5,000|2
2,500|2
1,250|2
625|5
125|5
25|5
5|5
1

24,000|2
12,000|2
6,000|2
3,000|2
1,500|2
750|2
375|3
125|5
25|5
5|5
1

$LCM(10000,24000)=2^6\cdot3\cdot5^4=120,000$

Write the equation of the parabola with a focus (1,2) and directrix y = 1

Answers

since the y shifted and focus is above directix, parabola opens up
4P(y-k)=(x-h)^2
distance from focus to veretx=distance from vertex to directix=P

from focus to directix is
from 2 to 1 which is 1 distance
1/2=P since 1/2of 1=1/2
4(1/2)(y-k)=(x-h)^2
vertexis 1 higher than directix so add 1/2 to 1 to get 1.5
vertex=(1,1.5)
vertex=(h,k)

equation is
4(1/2)(y-1.5)=(x-1)^2
if you want vertex form
2(y-1.5)=(x-1)^2
divide 2
y-1.5=(1/2)(x-1)^2
add 1.5
y= $(1/2)(x-1)^(2)+1.5$

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