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Keith_Richards [23]
3 years ago
5

Suppose you receive $100 for a graduation present, and you deposit it in a savings account. then each week thereafter, you add $

5 to the account but no interest is earned. The amount in the account is a function of the number of weeks that have passed. Use your equation to find when you will have $310 in the account.
Mathematics
1 answer:
nadezda [96]3 years ago
6 0

You will have $310 in your account after 42 weeks.

Step-by-step explanation:

Graduation present = $100

Amount deposited per week = $5

Let, x be the number of weeks, therefore, the function is

f(x) = 100+5x   Eqn 1

We will put f(x)=310 in Eqn 1 to find number of weeks.

310=100+5x\\310-100=5x\\210=5x\\5x=210\\

Dividing both sides by 5

\frac{5x}{5}=\frac{210}{5}\\x=42

You will have $310 in your account after 42 weeks.

Keywords: function, division

Learn more about functions at:

  • brainly.com/question/846474
  • brainly.com/question/8520610

#LearnwithBrainly

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If 1116 parts were made in 7 hours how much parts were made an hour
vampirchik [111]
Hello! To solve this question, all you have to do is divide the total amount of parts made by the number of hours. 1116/7 is 159.42857 and other numbers, or 159 when rounded to the nearest whole number. There were about 159 parts made an hour.
8 0
3 years ago
Determine the intercepts of the line. <br> -5x-4y=10
storchak [24]

Answer:

x-intercept:(-2,0)\\\\y-intercept:(0,-\frac{5}{2})

Step-by-step explanation:

The y-intercept is where x is 0 (0,y)

The x-intercept is where y is 0 (x,0)

Insert 0 as the value for x to find the corresponding y value:

-5(0)-4y=10

Simplify multiplication:

0-4y=10\\\\-4y=10

Isolate the variable. Divide both sides by 4:

\frac{-4y}{4}=\frac{10}{4}  \\\\-y=\frac{10}{4} \\\\-y=\frac{5}{2}

Make the variable positive. Multiply both sides by -1:

-1(-y)=-1(\frac{5}{2})\\\\y=-\frac{5}{2}

The y-intercept is at (0,-\frac{5}{2}).

Insert 0 as the value for y to determine the value of x:

-5x-4(0)=10

Simplify multiplication:

-5x-0=10\\\\-5x=10

Isolate x. Divide both sides by 5:

\frac{-5x}{5} =\frac{10}{5} \\\\-x=2

Multiply both sides by -1:

-1(-x)=-1(2)\\\\x=-2

The x-intercept is at (-2,0).

:Done

8 0
3 years ago
Help fast!!!<br> -2x-6=2-4x-(x-1)
Julli [10]

Answer:

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4 0
3 years ago
1.John has a sink that is shaped like a half-sphere. The sink has a volume of 1072 in. One day, his sink
Vlad [161]

Answer:

\large\boxed{\large\boxed{85cups}}

Explanation:

<u>1. Volume of a cup</u>

The shape of the cup is a cylinder. The volume of a cylinder is:

       \text{Volume of a cylinder}=\pi \times (radius)^2\times height

The diameter fo the cup is half the diameter: 2in/2 = 1in.

Substitute radius = 1 in, and height = 4 in in the formula for the volume of a cylinder:

         \text{Volume of the cup}=\pi \times (1in)^2\times 4in\approx 12.57in^3

<u>2. Volume of the sink:</u>

The volume of the sink is 1072in³ (note the units is in³ and not in).

<u>3. Divide the volume of the sink by the volume of the cup.</u>

This gives the number of cups that contain a volume equal to the volume of the sink:

          \dfrac{1072in^3}{12.57in^3}=85.3cups\approx 85cups

8 0
3 years ago
Hamdah wants to save $500 to buy a TV. She saves $17 each week. The amount, A (in dollars), that she still needs after w weeks i
Dmitriy789 [7]

Answer:

a) 14.11 dollars (b) 204 dollars

Step-by-step explanation:

(a) 500 - 211 = 289    289 '/. 17 = 14 r:7  14.7 dollars

(b) 17 x 5 = 85   289 - 85 = 204

hope this helped :)

6 0
3 years ago
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