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natita [175]
2 years ago
14

The amount of money that Charlie saves each week is directly proportional to the amount he earns. Last week Charlie saved $32 on

his earnings of $512. At the same rate, how much will Charlie save this week on his earnings of $448?
Mathematics
2 answers:
Agata [3.3K]2 years ago
8 0
If k is a constant of proportionality then we know from last week that
512= k ·32 so k=512/32=16;

This week 
448= k · amount he saved
448=16· amount he saved
amount saved=448/16=28

Answer $28


ArbitrLikvidat [17]2 years ago
5 0

Answer:

$28.

Step-by-step explanation:

Let y represent of saved money and x represent amount of earned money.

We have been given that the amount of money that Charlie saves each week is directly proportional to the amount he earns.

We know that two proportional quantities are in form y=kx, where, k is constant of proportionality.

Substitute given values and solve for k:

32=k*512

\frac{32}{512}=\frac{k*512}{512}

\frac{1}{16}=k

To find amount of saved money, we will substitute k=\frac{1}{16} and x=448 in our equation.

y=\frac{1}{16}\cdot 448

y=28

Therefore, Charlie saved $28 in the given week.

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Mr. Juarez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. Th
olga_2 [115]

Answer:

$576.80

Step-by-step explanation:

We have been given that Mr. Juárez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. The account earns 1% simple interest.

We are asked to find the total amount that Mr. Juárez will have in his account at the end of 3 years.

We will use simple interest formula to solve our given problem.

A=P (1+rt)

A = Final amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

Let us convert 1% into decimal form,

1%=1/100=0.01

P=$560 and t=3

A=$560 (1+0.01(3))

A=$560 (1+0.03)

A= $560 (1.03)

A= $576.80

Therefore, Mr. Juárez will have $576. 80 in his account at the end of 3 years. Hope this helps!

5 0
3 years ago
Which set of points lies on the graph of x = -2?
inysia [295]
If you use Desmos it'll give you these points:
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Since it's perfectly straight line, all the points with begin with -2. It's the same for graphs like y=-2, which would make them all end in -2. Hope this helped!
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2 years ago
Question 1 (1 point)
Karo-lina-s [1.5K]

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Step-by-step explanation:

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krek1111 [17]

Answer:

1

Step-by-step explanation:

The quadratic function

y = -2(x + 2)²  - 1

has no real zeros because its vertex is located at (-2, -1) and it opens downward (the leading coefficient, -2, is negative)

A quadratic function has one real root if its vertex has the form (x, 0). If we add 1 to our equation, we get:

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JulijaS [17]

Answer:

15

Step-by-step explanation:

-1x+4=-11

subtract 4 on both sides

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