Bonnie deposits $70.00 into a new savings account.
• The account earns 4.5% simple interest per year.
• No money is added or removed from the savings account for 3 years.
What is the total amount of money in her savings account at the end of the 3 years?

A. $9.45
B. $79.45
C. $94.50
D. $164.50

Answer:

-1

Step-by-step explanation:

the awnser is -1

Answer:

50% percent chance the ball will be yellow

Step-by-step explanation:

Find the amount of all the balls-24 and the amount of yellow balls-12

Then divide the number of yellow balls by the number of total balls.

12÷24=0.5

0.5=50%

Answer:

24

Step-by-step explanation:

3 * 2 = 6 * 4 = 24

Answer: 48

Step-by-step explanation:

3 x 2^4 =3 x 16 = 48

Answer:

Check pdf

Step-by-step explanation:

Answer:

4ft

Step-by-step explanation:

circumference of circle = π r^2

=> circumference = 50.25 ft

=> πr^2 = 50.25 ft

=> r^2 = 50.25/3.14 = 16 ft

=> r = √16

=> r = 4 ft

hope it helps

So first you would have to find the slope using the two points and the equation: y2-y1/x2-x1, which in this case means you take 6+4/3+1, which would be a slope of 10/4 or 5/2, or 2.5. Using this, we can take a point, use point slope form, and rearrange it. So:

y-6=2.5(x-3)

y-6=2.5x-7.5

-2.5x+y=1.5

Answer:

Measure of angle A = 55°.

Step-by-step explanation:

From the picture attached,

[tex]\frac{AC}{LN}=\frac{BC}{LM}[/tex]

[tex]\frac{10}{5}=\frac{8}{4}[/tex]

2 = 2

Corresponding sides of the given triangles ΔACB and ΔNLM are proportional.

Therefore, ΔACB ~ ΔNLM.

m∠A = 180° - (90° + 35°) [By triangle sum theorem]

         = 180° - 125°

         = 55°

Measure of angle A is 55°.

Answer:

-3k + 10

Step-by-step explanation:

-3k-(-8)+2 = -3k + 8 + 2 = -3k +10

Answer:

-3k + 10

Step-by-step explanation:

-3k + 8 + 2 =

-3k + 10

Hope that helps!

Answer:

454.68

Step-by-step explanation: so this is how u do it......

Step 1)  you need to turn the pursent into this kind of number ( 70% = 0.07)

Step 2)your need to subtract from the couch price (425$ - 0.07= 424.93)

Step 3)  424.93  is the sale price so 0.07 times 424.93 = ( 29.7451)

Step 4) 29.7451 is our tax price so ( tax + sale price )  29.7451 + 424.93 = 454.6751

Step 5) round to the nerest cent = 454.68

Answer:

4x + 8

-45 - 5x

7x - 21

Step-by-step explanation:

For the first one

4(x + 2)

for distributive property you multiply the number or symbol next to the outside of the parenthesis, by everything inside the parenthesis.

4(x+2)

4*x = 4x

4*2 = 8

So, this is 4x + 8

-5(9+x)

-5*9= -45

-5*x=-5x

So, this is -45 - 5x

7(x-3)

7*x= 7x

7*-3= -21

This will be 7x - 21

Hope this helps!!

-Ketifa

Answer:

8/25

Step-by-step explanation:

So 32% is essentially 32/100 now we can divide that even more so now we have 16/50(we divided it in half) but we can divide that again, so now we have 8/25 :)

Answer:

The terms of the sequence are x=5 and a=2:

[tex] x + (x + a) + (x + 2a) = 21 [/tex]  →  [tex] 5 + (5 + 2) + (5 +2*2) = 21 [/tex]

[tex] x*(x + a)*(x + 2a) = 315 [/tex]  →  [tex] 5*(5 + 2)*(5 + 2*2) = 315 [/tex]

Step-by-step explanation:

We can find the terms of the following sequence:

[tex] x + (x + a) + (x + 2a) = 21 [/tex]

[tex] 3x + 3a = 21 [/tex]      

[tex] x + a = 7 [/tex]      (1)

The product of that sequence is:

[tex] x*(x + a)*(x + 2a) = 315 [/tex]    (2)

Solving equation (1) for x:

[tex] x = 7 - a [/tex]  (3)

And by entering (3) into (2):

[tex] (7 - a)*(7 - a + a)*(7 - a + 2a) = 315 [/tex]  

[tex] 7*(7^{2} - a^{2}) = 315 [/tex]  

[tex] 343 - 7a^{2} = 315 [/tex]    

[tex] a = 2 [/tex]  

Now, by entering "a" into equation (3):

[tex] x = 7 - 2 = 5 [/tex]  

Therefore, the terms of the sequence are x=5 and a=2.

I hope it helps you!

Answer:

24?

Step-by-step explanation:

440 bevause 154 is 35 percent of 440

The 154 mocha cupcakes represents a proportion of the total cupcakes sold in the bakery. The total number of cupcakes sold in the bakery on that day is 440.

Given that:

[tex]Mocha = 154[/tex]

From the question, we understand that the bakery sells other cupcakes too.

And Mocha only represents 35% of the total.

This means that:

[tex]Mocha = 35\% \times Total[/tex]

So, we have:

[tex]154 = 35\% \times Total[/tex]

Make Total the subject

[tex]Total = 154 \div 35\%[/tex]

[tex]Total = 440[/tex]

Hence, 440 cupcakes were sold on that day.

Read more about proportions at:

https://brainly.com/question/11654319

Answer:

$117.6

Step-by-step explanation:

Formula:

I = Prt

Given:

P = 210

r = 8% = 0.08

t = 7

Work:

I = Prt

I = (210)(0.08)(7)

I = 117.6

Answer:

Step-by-step explanation:

So with 8% interest, Jim will have to pay 8% more each year. For the first year we need to multiply 210 with 1.08 to find the amount that Jim would have had to pay to his sister if he had gotten an 8% interest for 1 year. Every time the year increases we need to multiply the previous number with 1.08 because we are looking for the 8% increased value of the previous one, therefore our equation is:

P(t) = 210*(1.08)^t --> (t=time in years, P(t)=amount of money Jim need to pay back with respect to time)

Since Jim gets an 8% interest for 7 years we have to put in 7 for t.

P(7)=210*(1.08)^7

which is approximately $359.903

Answer:

trigonometry

Step-by-step explanation:

hope this helps lovely

Answer:

trigonometry

Step-by-step explanation:

Have a great day!

Answer:

X=26

Step-by-step explanation:

Answer:

X=26

Step-by-step explanation:

hope this helps

Answer:

The answer is 8 - 4i

you collect the like terms

Answer:

b

Step-by-step explanation:

Answer:

k =  -9

Step-by-step explanation:

f(x) = 2x²+kx-20

From remainder theorem,

x = 10 and f(10) = 90

f(10) = 90

Subsitute the value of x into the expression above.

f(10) = 2(10²)+10k-20 = 90

200+10k-20 = 90

Solve for k by collecting like terms

10 k = 90+20-200

10k = 110-200

10k = -90

k = -90/10

k = -9.

Hence the value of the constant is -9

Answer:

-9g

Step-by-step explanation:

Move -9 to the left of g

I think this is right, sorry if it is wrong, have a great day

Answer:

6 hours and 25 minutes

Step-by-step explanation:

10:15 to 4:40 = 6 hours and 25 minutes

Answer:

In 2014, the population is of the United States was about 318,900,000 people. Choose the best approximation of the United States Population in 2014.

people

people

Answer:

people

Step-by-step explanation:

Given

US Population in 2014: About 318,900,000

Required

Approximate

From the given options, it's seen that the population of US is to be approximated to one significant digit and the result should be presented in standard form

So, the first step is to write out the population

318,900,000

As a general rule,

Category 1: Digit 0-4 are approximated to 0

Category 2: Digit 5-9 are approximated to 1

Since, we are approximating to one significant digit, only the first digit is needed, others are to be approximated.

The first digit is 3, meaning that approximation starts from the next digit which is 1

Approximating 318,900,000 will give 300,000,000 because "1" falls in category 1 as illustrated above.

The final step is to convert 300,000,000 to standard form.

There are 8 0s after 3.

Hence,

Conclusively, the approximation of 318,900,000 is  people

Step-by-step explanation:

Answer:

5 is the answer

Step-by-step explanation:

2 4 6 8 10

1. 2 3 4 5

Juices

Answer:  $0.18

Step-by-step explanation: