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Marat540 [252]
3 years ago
8

Arthur is saving money to buy a used car in 8 months. The car costs $2,180. Arthur plans to start with an initial deposit and th

en deposit 25% more than the previous month until he has enough money to buy the car. What is the minimum initial deposit Arthur must make? Round to the nearest whole dollar.
Mathematics
1 answer:
Zolol [24]3 years ago
6 0

The minimum initial deposit Arthur must make is $ 4.24.

Since Arthur is saving money to buy a used car in 8 months, and the car costs $ 2,180, and Arthur plans to start with an initial deposit and then deposit 25% more than the previous month until he has enough money to buy the car, to determine what is the minimum initial deposit Arthur must make the following calculation should be performed:  

  • X x 1.25 x 1.56 x 1.95 x 2.44 x 3.05 x 3.81 x 4.76 = 2180
  • 514.10X = 2180
  • X = 2180 / 514.10
  • X = 4.24

Therefore, the minimum initial deposit Arthur must make is $ 4.24.

Learn more about maths in brainly.com/question/25749130

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Laura invests $2500 in one account and $1500 in an account paying 2 % higher interest. At the end of one year she had earned $11
Crank

Answer:

$2500 - 2%

$1500 - 4%

Step-by-step explanation:

Say the interest for the $2500 is x, so the interest for the $1500 is x+0.02.

As an equation, they would look like this:

2500x+1500(x+0.02)=110

Now solve

2500+1500x+30=110

4000x=80

x=0.02

That means the interest for the $2500 is 0.02, or 2%, and the interest for the $1500 is 0.04, or 4%.

6 0
3 years ago
How do u solve proportion equations
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3 years ago
76. Currently, your savings for each month is capped at $400. If you start investing all of this into a savings plan earning 1%
Alexxandr [17]

Answer:

10 years and 10 months.

Step-by-step explanation:

The annually interest rate (ia) can be converted by monthly (im) by the equation:

(1 + im)¹² = 1 + ia

(1 + im)¹² = 1 +0.01

(1 + im)¹² = 1.001 (putting ln in both sides)

ln(1 + im)¹² = ln1.001

12*ln(1 + im) = 1.0x10⁻³

ln(1 + im) = 8.33x10⁻⁵(applying "e in both sides)

e^{ln(1 + im)} = e^{8.33x10^{-5}}

1 + im = 1.00083

im = 0.00083 = 0.083%

For a investimenting, the final amount (A) can be calculated by:

A = R*(\frac{(1+i)^n-1}{i} )

Where R is the amount invested per month, i is the interest, and n the number of months:

160000 = 400 *\frac{(1 +0.00083)^n - 1}{0.00083}

\frac{(1 +0.00083)^n - 1}{0.00083} = 400

1.00083ⁿ - 1 = 0.332

1.00083ⁿ = 1.332 (applying ln in both sides)

n*ln1.00083 = ln1.332

8.3x10⁻⁴n = 0.2867

n = 345.4 months

345.4 months *1 yea12 months = 10 years and 10 months.

7 0
3 years ago
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Write the following in standard form: (x-4)^2 = 49
Korolek [52]

Answer:

I have made it in picture hope it helps

8 0
3 years ago
Y is inversley proportionaly to x. when y=7, x=9
mrs_skeptik [129]

The equation is y = 63/x

And y = 3 when x=21

Step-by-step explanation:

When y varies inversely with x, The inverse proportion is given by:

y ∝1/x

When the proportionality symbol is removed, a constant of proportionality is introduced

y = \frac{k}{x}

Putting y = 7 and x = 9

7 = \frac{k}{9}\\k = 9*7\\k = 63

So,

y = \frac{63}{x}

Putting x =21

y = \frac{63}{21}\\y = 3

Hence,

The equation is y = 63/x

And y = 3 when x=21

Keywords: Proportion, variables

Learn more about proportion at:

  • brainly.com/question/11220787
  • brainly.com/question/11131690

#LearnwithBrainly

8 0
3 years ago
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