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charle [14.2K]
3 years ago
9

Hellp me pls!!! For homework

Mathematics
2 answers:
Ratling [72]3 years ago
8 0

Answer:   1.4

Work Shown:

42 cupcakes : 30 minutes

42/30 cupcakes : 30/30 minutes

1.4 cupcakes : 1 minute

The unit rate is 1.4 cupcakes per minute. This assumes that the rate is kept the same.

olga_2 [115]3 years ago
6 0
42/30 = 1.4
She can decorate 1.4 cupcakes per minute.
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Howard invested $5,000 in Certificate of Deposit (CD) that pays 3.75% interest. compounded weekly. What is the value of the CD a
blsea [12.9K]

Answer:

The value of the CD at the end of the 4 years is $5,808.86.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Howard invested $5,000 in Certificate of Deposit (CD) that pays 3.75% interest.

This means that P = 5000, r = 0.0375

Compounded weekly

An year has 52 weeks, so n = 52

Then

A(t) = P(1 + \frac{r}{n})^{nt}

A(t) = 5000(1 + \frac{0.0375}{52})^{52t}

What is the value of the CD at the end of the 4 years?

This is A(4). So

A(4) = 5000(1 + \frac{0.0375}{52})^{52*4} = 5808.86

The value of the CD at the end of the 4 years is $5,808.86.

6 0
3 years ago
Given the tunction g(x) = 4x - 5, compare and contrast g(2) and g(-4). Choose the statement that is true concerning these two va
vitfil [10]
G(2)=4•2-5=3
g(-4)=4•(-4)-5=-21
So the answer is the value of g(2)is smaller than the value of g(-4)
4 0
4 years ago
Suppose the scores of students on an exam are Normally distributed with a mean of 405 and a standard deviation of 69. Then appro
soldi70 [24.7K]

Answer:

 198 and 612

Step-by-step explanation:

We are given that the scores are normally distributed.

The mean of the data is 405.

The standard deviation of this data is 69.

Empirical rule states that for a normally distributed data that

  • about 68% data lies between \mu \pm 1\sigma that is one standard deviation from mean.
  • about 95% data lies between \mu \pm 2\sigma that is one standard deviation from mean.
  • about 99.7% data lies between \mu \pm 3\sigma that is one standard deviation from mean.

Thus, 99.7% of data will lie between 405 \pm 3(69) that is it will lie in the range (198,612)

7 0
3 years ago
NO LINKS!
stiks02 [169]

Answer:Function to be graphed is,

h(x) = 2(x - 3)²

Function 'h' is a quadratic function.

Since, the coefficient of the leading term (term with the highest power) is positive, parabola will open upwards.

Both the ends of the parabola will be upwards (towards positive infinity).

As x approaches to negative infinity, h(x) approaches to positive infinity.

As x approaches to positive infinity, h(x) approaches to positive infinity.

Step-by-step explanation:

5 0
3 years ago
If AB has endpoints A(-15,9) and B(0,3) what is the slope of AB
Agata [3.3K]
Y1-y2/x1-x2

9-3=6
-15-0=-15
Answer: -6/15
8 0
3 years ago
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