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7nadin3 [17]
3 years ago
9

Sarah's parents started a savings account for her when she was 12. The plan her parents chose earns 3.2% each year, and her pare

nts initial deposit was $3500. How much will be in Sarah's savings account after 3 years when Sarah is ready to look for a car?
Mathematics
1 answer:
nekit [7.7K]3 years ago
5 0

Answer:

  $3846.87

Step-by-step explanation:

Assuming the interest is compounded annually, the value in 3 years is ...

  FV = P(1 +r)^t

  FV = $3500(1.032^3) ≈ $3846.87

Sarah's account will be worth about $3846.87.

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Given the function below, find f (3/2). f(x) = 2x^2 - 7x​
kenny6666 [7]

Answer:

3 has to be 3

Step-by-step explanation:

n neg so 3

4 0
2 years ago
Price-club sells a 12-ounce box of crackers for $2.59 and Shop Mart sells 1-pound box of crackers for $4.68. The unit price at P
Vesna [10]

Answer:

The unit price at Price-Club is $0.2158 per ounce.

The unit price at Shop Mart is $0.2925 per ounce.

Step-by-step explanation:

Price Club:

12-ounce box of crackers for $2.59

So

12 ounces - $2.59

1 ounce - x

12x = 2.59

x = \frac{2.59}{12}

x = 0.2158

The unit price at Price-Club is $0.2158 per ounce.

Shop Mart:

1-pound box of crackers for $4.68.

1 pound is 16 ounces. So

16 ounces - $4.68

1 ounce - x

16x = 4.68

x = \frac{4.68}{16}

x = 0.2925

The unit price at Shop Mart is $0.2925 per ounce.

8 0
3 years ago
Select an<br> expression that is<br> equivalent to 2 4/8
garri49 [273]
The answer is 1 or 2 1/2
7 0
3 years ago
An experiment was conducted to investigate whether there is a difference in mean bag strengths for two different brands of paper
Elanso [62]

Answer:

A two-sample t-test for a difference between sample means

Step-by-step explanation:

<u>Explanation</u>:-

A random sample of 50 bags from each of Brand X and Brand Y was selected

Given two sample sizes n₁ and n₂

Each bag was held from its rim, and one-ounce weights were dropped into the bag one at a time from the same height until the bag ripped

mean of ounces the first sample = x⁻

mean of the  second sample =y⁻

Given data one-ounce weights were dropped into the bag one at a time from the same height until the bag ripped

Standard deviation of the first sample = S₁

Standard deviation of the second sample = S₂

Now we use t - distribution for a difference between the means

t = \frac{x^{-}  -y^{-} }{\sqrt{S^{2}(\frac{1}{n_{1} }  +\frac{1}{n_{2} } } }

where

S^{2} = \frac{n_{1} S_{1} ^{2} +n_{2}S_{2} ^{2}  }{n_{1} +n_{2} -2 }

Degrees of freedom γ = n₁ +n₂ -2

3 0
3 years ago
A company finds that if they price their product at $ 35, they can sell 225 items of it. For every dollar increase in the price,
Basile [38]

Answer:

Maximum revenue = $8000

The price that will guarantee the maximum revenue is $40

Step-by-step explanation:

Given that:

Price of product = $35

Total sale of items = 225

For every dollar increase in the price, the number of items sold will decrease by 5.

The total cost of item sold = 225 ×35

The total cost of item sold = 7875

If c should be the dollar unit in price increment;

Therefore; the cost function is : [35+c(1)][225-5(c)]

For maximum revenue;

\dfrac{d}{dc}(cost \ function) =0

\dfrac{d}{dc}[[35+c(1)][225-5(c)]]=0

0+225-35× 5 -10c = 0

225 - 175  =10c

50 = 10c

c = 50/10

c = 5

Maximum revenue = [35+c(1)][225-5(c)]

Maximum revenue = [35+5(1)][225-5(5)]

Maximum revenue = (35 + 5)(225-25)

Maximum revenue = (40 )(200)

Maximum revenue = $8000

The price that will guarantee the maximum revenue is :

=(35 +c)

= 35 + 5

= $40

8 0
3 years ago
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