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3 years ago

P = $14,300 r = 7 % t = 4

1 answer:

5 0

$A=P\left(1+\dfrac{t}{100}\right)^t\\\\P=\$14,300\\r=7\%\\t=4\\\\A=\$14,300\left(1+\dfrac{7}{100}\right)^4=\$14,300(1+0.07)^4\$14,300\cdot1.07^4\approx18,744.38$

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Erika bought 3 kilograms of cinnamon red hots and 1 kilogram of gummy bears for $21.00. Meanwhile, Irene bought 3 kilograms of c

grin007 [14]

Erika $21
3k of cinnamon
1g of gummies

Irene $39
3k of cinnamon
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c= cost of 1 kilogram of cinnamon
g= cost of 1 kilogram of gummies

Erika's Equation
3c + 1g= $21

Irene's Equation
3c + 3g= $39

Solve for one variable in equation one and substitute it in the other equation.

3c + 1g= 21
subtract 3c from both sides
g= 21 - 3c

Substitute g=21 - 3c in equation
3c + 3g= $39
3c + 3 (21 - 3c)= 39
multiply all in parentheses
3c + 63 - 9c= 39
63 - 6c= 39
subtract 63 from both sides
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c= $4

Substitute c=4 in equation to find g
3c + g= 21
3(4) + g= 21
12 + g= 21
subtract 12 from both sides
g= $9

ANSWER: The price of 1 kilogram of cinnamon red hots is $4. The cost of 1 kilogram of gummies is $9.

Hope this helps! :)

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3 years ago

Parth created a Box-and-Whisker Plot to show the average weight of the fish he caught over the weekend. What information does th

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2 years ago

A mountain is in the shape of a cone whose height is about 3.7 kilometers and whose base radius is about 3 kilometers. Approxima

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Answer:

34.54 $km^{3}$

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Height (h) = 3.7 km

Base radius (r) = 3 km

We can calculate the volume of mountain by using following formula,

So, volume of cone = (1/3)π $r^{2}$ h

By putting the value in the formula, we get

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Hence, the volume of the mountain is 34.54 $km^{3}$ .

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3 years ago

Let a be a non-zero rational number and be an irrational number. Is a/b rational or irrational?

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Answer: Irrational, assuming b is irrational

Step-by-step explanation:

You didnt state what "b" is, but:

Youre dividing "a" by an irrational number. you could do something simple like 4 divided by pi. Youre going to get an irrational number

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3 years ago

the length of a rectangle exceeds its width by 6 inches and the area is 40 square inches. What are the length and width of the r

Lorico [155]

Classic Algebra and its unnecessarily complicated sentence structure. As you may have probably known, Algebra has its own "vocabulary set".

"the length of a rectangle exceeds its width by 6 inches" -> length is 6 in. longer than width -> l= w + 6

Since we're solving for the length and width, let's give them each variables.

length = l = w+6

width = w

The next bit of information is "the area is 40 square inches"

Applying the formula for the area of a rectangle we can set up:

l x w = 40

replace "l", or length, with it's alternate value.

(w+6) x w = 40

distribute

$w^{2}$ + 6w = 40

subtract 40 from both sides

$w^{2}$ + 6w - 40 = 0

factor

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solve for w

w= 4, or -10

So great, we have 2 values; which one do we choose? Since this problem is referring to lengths and inches, we will have to choose the positive value. There is not such thing as a negative distance in the real world.

We now have half of the problem solved: width. Now we just need to find the length which we can do but substituting it back into the original alternate value of l.

l = w + 6

w=4

l = 4 + 6 = 10

The length is 10 in. and the width is 4 in. Hope this helps!

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3 years ago