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3 years ago

May someone help me on this please what amount will I put for B?

Mathematics

1 answer:

Alborosie3 years ago

6 0

P = $2000, Rate, r = 6% = 0.06 per year, Time, t = 5 years.

For compound interest compounded annually:

A) Amount, A = P(1 + r)^t

A = 2000(1 + 0.06)⁵

A = 2000(1.06)⁵ ≈ 2676.45

Amount ≈ $2676.45

B) Interest = Amount - Principal 

= 2676.45 - 2000 = 676.45

Interest ≈ $676.45

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Mrs. Johnson’s class sold cookies for $2.50 each and Mr. Smith’s class sold popcorn for $1.50 each. Together, the classes sold 5

sashaice [31]

Answer:

(a) Mrs. Johnson’s class sold 26 cookies, Mr. Smith’s class sold 27 popcorn.

(b) Mrs. Johnson’s class earned $\$65.$ Mr. Smith’s class earned $\$40.5.$ Hence, Mrs. Johnson’s class earned more.

Step-by-step explanation:

Let x be the number of cookies Mrs. Johnson’s class sold and y be the number of popcorn Mr. Smith’s class sold.

(a) If Mrs. Johnson’s class sold x cookies for $2.50 each, then they earn $2.50x. If Mr. Smith’s class sold y popcorn for $1.50 each, then they earn $1.50y. In total, $2.50x+$1.50y=$105.50.

Together, the classes sold 53 items, then x+y=53.

You get the system of two equations:

$\left\{\begin{array}{l}x+y=53\\ \\2.5x+1.5y=105.5\end{array}\right.$

Solve it

$\left\{\begin{array}{l}x+y=53\\ \\2.5x+1.5y=105.5\end{array}\right.\Rightarrow \left\{\begin{array}{l}x=53-y\\ \\2.5(53-y)+1.5y=105.5\end{array}\right.,$

$132.5-2.5y+1.5y=105.5,\\ \\132.5-105.5=2.5y-1.5y,\\ \\y=27,\\ \\x=53-27=26.$

(b) Mrs. Johnson’s class earned $\$2.50\cdot 26=\$65.$ Mr. Smith’s class earned $\$1.50\cdot 27=\$40.5.$ Hence, Mrs. Johnson’s class earned more.

8 0

3 years ago

How do I compete the two-way table for #4

mafiozo [28]

The number under 56 would be 3, the number under that would be 59, the number above 7 would be 42, the number to the right of 42 would be 98, the number under 10 would be 108. I think that's all of them, let me know if you have any questions :)

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3 years ago

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Grace [21]

Answer:

https://www.calculatorsoup.com/calculators/financial/sale-price-calculator.php

Step-by-step explanation:

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3 years ago

Need Help Due Tomorrow MUST SHOW WORK!!! DONT BOTHER ANSWERING IF YOU CANT SHOW WORK

Dafna1 [17]

Answer:

Step-by-step explanation:

we know that (x-5) and (y-6) must add up to 129 because 180-51 is 129

now let's plug in the values to see

51-5= 66 63-6 = 57

57+66 is 123, not this one, let's repeat the same step

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3 years ago

A scientist measured the amounts of fertilizer given to plants, the heights to which the plants grew, and the amount of fruit th

pentagon [3]

Answer:

d. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is like that tree height and fruit yield are also positively correlated.

Step-by-step explanation:

The correlation refers to the relationship between two or more variables i.e how they are interrelated to each other. It can be positive, negative, perfect, etc

As we can see in the figure that in both the data sets the fertilizer contains the same values which depict that they are positively correlated with respect to the height of tree and fruit yield that derives that the height of tree and fruit yield is also positively correleated

Here positive correlation means that the two variables moving in a similar direction i.e if one variable increased so the other is also increased

Therefore the option d is correct

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3 years ago