Alyson opened a savings account with a deposit of $600. She withdrew $15 each day for
the next 5 days, and then deposited her entire paycheck from Barney's Bagels, bringing
her balance to $750. Then she remembered that she had promised to donate 25% of her
paycheck to charity. How much should she withdraw from savings?

Answer:

18. AE = 6

19. BG = 6

20. CF = 5

21. GF = 2

22. CE = 3

23. AC = 3·√5

24. A_F = 10

25. DA = 3·(√5 - 1)

Step-by-step explanation:

Whereby the point C is the center of the circle, we have;

CB = CG = CE = 3 = The radius of the circle with center at C

CE = 3

CF = √(4² + 3²) = 5 by Pythagoras' theorem

CF = 5

GF = CF - CG = 5 - 3 = 2

GF = 2

BG = CB + CG = 3 + 3 = 6

BG = 6

Whereby, BC is a tangent to the circle with center, C, we have;

A_F = √(8² + 6²) = 10 by Pythagoras' theorem

A_F = 10

AE = A_F - EF = 10 - 4 = 6

AE = 6

AC = √(6² + 3²) = 3·√5 by Pythagoras' theorem

AC = 3·√5

DA = AC - CD = 3·√5 - 3 = 3·(√5 - 1)

DA = 3·(√5 - 1).

Answer:

y=2

Step-by-step explanation:

advgdsfh usb hey do f ft h

Answer:

5.91780821918

Step-by-step explanation:

432/73 is the same as 432 ÷73=5.91780821918

Hope this helps ∞<3

Answer:

[tex]\displaystyle \frac{14}{3}\sqrt{5}[/tex]

Step-by-step explanation:

Simplify:

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}[/tex]

We must express the mixed fraction into an improper fraction:

[tex]2\frac{2}{9}=2+\frac{2}{9}=\frac{20}{9}[/tex]

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \sqrt{80} + \sqrt{\frac{20}{9}}[/tex]

Since 80 = 16*5 and 20=4*5

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \sqrt{16*5} + \sqrt{\frac{4*5}{9}}[/tex]

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle 4\sqrt{5} + \frac{2}{3}\sqrt{5}[/tex]

Adding the fractions:

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle (4 + \frac{2}{3})\sqrt{5}[/tex]

[tex]\mathbf{\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \frac{14}{3}\sqrt{5}}[/tex]

Answer:

-1.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = 5

Answer:

x=5

Step-by-step explanation:

Answer:

The drama club can purchase 1429 programs

Step-by-step explanation:

Answer:

$30

Step-by-step explanation:

2000 x .015 = 30

The interest earned in the savings account after 12 months on a balance of $2000 if the interest rate is 1.5% APY compounded yearly is $30

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

[tex]CI = P\left(1 +\dfrac{R}{100}\right)^T - P[/tex]

The final amount becomes:

[tex]A = CI + P\\A = P\left(1 +\dfrac{R}{100}\right)^T[/tex]

For this case, we're specified that:

Thus, we get the amount of interest as:

[tex]CI = 2000\left(1 +\dfrac{1.5}{100}\right)^1 - 2000\\\\CI = 2000\times \dfrac{1.5}{100} = 30 \: \rm (in \: dollars)[/tex]

Thus, the interest earned in the savings account after 12 months on a balance of $2000 if the interest rate is 1.5% APY compounded yearly is $30

Learn more about compound interest here:

https://brainly.com/question/11897800

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Answer:

use the formula y2 - y1 / x2 - x1

Answer:

y2-y1 /x2-x1

Step-by-step explanation:

slope is the same as gradient

follow this principle (x,y)

Gradient (m) =y2-y1 /x2-x1

Answer:

30

Step-by-step explanation:

To solve this problem the way I would do it would be:

75% = 3/4

40 ÷ 4 = 10 × 4

Since you have 75% or 3/4 you add 1/4 3 times. 1/4 of 40 is 10 so add 10 3 times.

10 + 10 + 10 = 30

Answer:

[tex]30[/tex]

Step-by-step explanation:

[tex]40 \times \frac{75}{100} = \\ 40 \times \frac{3}{4} = 30[/tex]

Answer:

4

Step-by-step explanation:

what else o3o

Answer:

2+2=4

Step-by-step explanation:

tysm!!

Answer:

240°

Step-by-step explanation:

[tex]sin^2x=3cos^2x \\ \\ sin^2x=3(1 - sin^2x )\\ \\ sin^2x=3 - 3sin^2x \\ \\ sin^2x + 3sin^2x=3 \\ \\ 4sin^2x=3 \\ \\ sin^2x= \frac{3}{4} \\ \\ sinx= \sqrt{ \frac{3}{4} } \\ \\ sinx= \frac{ \sqrt{3} }{2} \\ \\ sinx= sin \: 60 \degree \\ \\ in \: the \: second \: quadrant \\ sinx= sin \: (180 \degree - 60 \degree ) = sin \: 120 \degree \\ \\ in \: the \: third \: quadrant \\ sin x= sin \: (180 \degree + 60) \degree = sin \: 240 \degree[/tex]

Answer:

1/6

Step-by-step explanation:

sec = 1/cos = [tex]\sqrt{37}[/tex]/6 and cos is adj/hyp so the other side of the triangle is 1 and tan = sin/cos so 1/6

Answer:

D

Step-by-step explanation:

Answer:

no slope

Step-by-step explanation:

m= y2-y1/x2-x1

m= 6-(-6)/4-4

m=12/0

m= no slope

Answer:

the answer is B i think ..............

Answer:

24300

Step-by-step explanation:

first find the square for 30 * 30

then multiply!

Answer:

40

Step-by-step explanation:

Just use a calculator. I didn´t need to. My brother helped me a little

Answer:

152y+125

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step one:

Ted's monthly salary =$850.00

since he made sales over $10,000. that is he sold supplies worth $14,000

his commission will be 7% of $14,000

=7/100*$14,000

=0.07*$14,000

=$980

Required

His total earnings

Step two:

Hence his total earnings is, his monthly salary  plus 7% commission of  supplies worth $14,000

=$850.00+$980.00

=$1830

Answer:

$1800

Step-by-step explanation:

1. Approanch

An easy way to calculate one's salary after they recive a raise is to, convert the percent that one's salary is increased into a decimal; divide the percent by 100. Then multiply the increase as a decimal by the original salary, to attain the amount the salary is raised by. Finally add the amount the salary is raised by to the original salary to find the new salary. A quicker way to do this is to convert the percent by the salary is increased into a decimal. Then add 1 to that number. Finally one will multiply that number by the original slary and get the new salary.

2. Solving

Original salary; 1500

Raise; 20%

a. convert the raise as a percent into a decimal, then add 1

20% = 0.2

0.2 + 1 = 1.2

b. multiply the number by the original salary

1.2 * 1500

1800

Answer:

$ 1800

Step-by-step explanation:

Rise in payment = 20% of 1500

                          [tex]= \frac{20}{100}*1500\\\\=20 *15\\\\= $300[/tex]

New weekly wage = 1500 + 300

                                = $ 1800

Answer:

[tex] < 1 = 48[/tex]

Step-by-step explanation:

[tex] < 1 + 132 = 180[/tex]

[tex] < 1 = 180 - 132[/tex]

[tex] < 1 = 48[/tex]

because it's a straight angle(180)

Answer:

Step-by-step explanation:

Let the amount of washer-dryer combination sets that are in the warehouse after the sale be x

Initial amount in the ware house is y

y - 36 = 75% of y

y - 36 = 0.75y

0.75y - y = -36

-0.25y = -36

y = 36/0.25

y = 144

The initial amount of wash dryer before sale is 144

After sale the amount of set in the house x = 144 - 36 = 108

Hence there 108 washer-dryer combination sets are in the warehouse after the sale

Answer:

30x^5y^5

Step-by-step explanation:

What is the product of 10x4 y2 and 3xy3 ?

30x^5y^5

Answer:

x=2

Step-by-step explanation:

Thanks sweetheart <3

Answer:

A.B

Step-by-step explanation:

5 - sqrt1.35 =  ~3.8

A) 3 / sqrt2 = ~2.1

B) 5 / sqrt3 = ~2.9

C) 3 + 2sqrt2 = ~5.8

D) 4 + 8/sqrt50 = ~5.1

Step-by-step explanation:

Mean average = (84 + 72 + 90 + 95 + 87) / 5 = 85.6

For the mean score to increase, the new score must be greater than 85.6.

Hence the correct options are 90, 86 and 92.

Answer:

b, d, and e

Step-by-step explanation: