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stiks02 [169]
3 years ago
5

Alfred is practicing typing. The first time he tested himself, he could type 27 words per minute. After practicing for a week, h

e could type 29 words per minute. After two weeks he could type 31 words per minute. Based on this pattern, predict how fast Alfred will be able to type after four weeks of practice.
Mathematics
1 answer:
Minchanka [31]3 years ago
7 0
In four weeks, he would be able to type 35 words a minute. See how it goes up two words per week. He started with 27 words, then after one week, it was 29, and after two weeks, it was 31, so after three weeks, 33, and in four weeks, 35. See the pattern? It counts by twos.
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janelle wishes to finance a car for $33,000. the bank's annual interest rate is 3.5%, and she can choose between durations of fi
Harman [31]

Answer:

For a duration of 5 years, Monthly Payment =$600.42

For a duration of 6 years, Monthly Payment =$508.83

Step-by-step explanation:

P=\dfrac{ar (1+r)^n}{(1+r)^n-1} \\

where a= Amount to Finance=$33,000

Annual interest rate = 3.5%=0.035

r=Monthly Interest Rate= 0.035 ÷ 12 =\frac{7}{2400}

n=number of months to pay

For a duration of 5 years

n=5X12=60 months

P=\dfrac{ar (1+r)^n}{(1+r)^n-1} \\\\P=\dfrac{33000 X\frac{7}{2400} (1+\frac{7}{2400} )^{60}}{(1+\frac{7}{2400})^{60}-1} \\=\dfrac{96.25 (1.1909)}{1.1909-1}\\=\dfrac{96.25 (1.1909)}{0.1909}\\=\dfrac{114.62}{0.1909}=\$600.42

For a duration of 6 years

n=6X12=72 months

P=\dfrac{ar (1+r)^n}{(1+r)^n-1} \\\\P=\dfrac{33000 X\frac{7}{2400} (1+\frac{7}{2400} )^{72}}{(1+\frac{7}{2400})^{72}-1} \\=\dfrac{96.25 (1.2333)}{1.2333-1}\\=\dfrac{96.25 (1.2333)}{0.2333}\\=\dfrac{118.71}{0.2333}=\$508.83

4 0
3 years ago
According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are re
Anna35 [415]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

P(brown) = 12% = 0.12

P(Yellow) = 15% = 0.15

P(Red) = 12% = 0.12

P(blue) = 23% = 0.23

P(orange) = 23% = 0.23

P(green) = 15% = 0.15

A.) Compute the probability that a randomly selected peanut M&M is not yellow.

P(not yellow) = P(Yellow)' = 1 - P(Yellow) = 1 - 0.15 = 0.85

B.) Compute the probability that a randomly selected peanut M&M is brown or red.

P(Brown) or P(Red) :

0.12 + 0.12 = 0.24

C.) Compute the probability that three randomly selected peanut M&M’s are all brown.

P(brown) * P(brown) * P(brown)

0.12 * 0.12 * 0.12 =0.001728

D.) If you randomly select three peanut M&M’s, compute that probability that none of them are blue.

P(3 blue)' = 1 - P(3 blue)

P(3 blue) = 0.23 * 0.23 * 0.23 = 0.012167

1 - P(3 blue) = 1 - 0.012167 = 0.987833

If you randomly select three peanut M&M’s, compute that probability that at least one of them is blue.

P(1 blue) + p(2 blue) + p(3 blue)

(0.23) + (0.23*0.23) + (0.23*0.23*0.23)

0.23 + 0.0529 + 0.012167

= 0.295067

5 0
3 years ago
What is the equation of the line shown in this graph?
Grace [21]

Answer:

x=-2

Step-by-step explanation:

It is a straight line when x=-2 :)

8 0
3 years ago
What is Factor 64b-16c to identify the equivalent expressions.
liubo4ka [24]
Answer:
16(4b - c)

Explanation:
16 x 4b = 64b
16 x c = 16c
3 0
3 years ago
Which of these strategies would eliminate a variable in the system of equations? ​8x+8y=2 8x+5y=1 ​ Add the equations. (Choice B
harkovskaia [24]

Answer:

B. Subtract the bottom equation from the top equation.

Step-by-step explanation:

When looking at the two equations:

8x + 8y = 2

8x + 5y = 1

We can easily get rid of the x variable by subtracting the two equations from each other since the terms are equivalent. This would allow us to solve for the y value, which we could plug into the an equation to solve for the x value.

7 0
3 years ago
Read 2 more answers
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