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Airida [17]
2 years ago
8

Kathy and Mark Smith believe investing in their retirement is critical. Kathy began investing 20% of each paycheck in a retireme

nt account when she was 20 years old. She has saved four times more than Mark who began saving when he was 35. If their total retirement savings equals $1,530,000, how much are Kathy’s and Mark's investments worth?

Mathematics
1 answer:
Alona [7]2 years ago
5 0

Answer:

Kathy: $1,224,000

Mark: $306,000

Look at the attachment

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Choose the algebraic expression that represents the area of a triangle that has a base 8 inches less than 2 times wider than the
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Answer:

B. (1/2)(2h-8)(h)

Step-by-step explanation:

Area of a triangle = 1/2 × base × height

Let

Height = h

Base = 8 inches less than 2 times wider than the hight

= 2h-8

Substituting the values of base and height into the formula

We have,

Area of a triangle = 1/2 × base × height

= 1/2 × (2h-8) × h

= (1/2)(2h-8)(h)

The correct answer is option

B. (1/2)(2h-8)(h)

7 0
2 years ago
Bald-faced hornets have a hive that is approximately cone-shaped, as shown in the image. One such hive has a radius of 15 inches
sineoko [7]

Answer:

Volume of the hive is 4712.4 square inches.

Step-by-step explanation:

Since hive has the shape of a cone with radius = 15 inches and height = 20 inches

Therefore, volume of the given cone = \frac{1}{3}(\text{Area of the base})\times \text{height}

Area of the circular base = πr²

Area = π(15)²

        = 225π

Volume of the cone = \frac{1}{3}(225\pi )\times{20}

                                 = 1500π

                                 = 4712.39

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Therefore, volume of the hive is 4712.4 square inches.

7 0
2 years ago
Mustafa, Heloise, and Gia have written more than a combined total of 2222 22 articles for the school newspaper. Heloise has writ
Papessa [141]

Answer: m>8

Mustafa could have written more than 8 articles for the newspaper.

Step-by-step explanation:

Given: Heloise has written 1/4 as many articles as Mustafa has. Gia has written 3/2 as many articles as Mustafa has.

Let m be the number of articles Mustafa writes.

Then articles written by Heloise=\frac{1}{4}m

And articles written by Gia=\frac{3}{2}m

The total number of articles =m+\frac{1}{4}m+\frac{3}{2}m=\frac{4m+m+6m}{4}=\frac{11m}{4}

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\frac{11m}{4}>22\\\Rightarrow\ m>\frac{22\times4}{11}\\\Rightarrow\ m>8

Hence, Mustafa could have written more than 8 articles for the newspaper.

3 0
2 years ago
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Which equation can you use to solve in the figure shown?
Neporo4naja [7]

What’s the figure I couldn’t see anything here.

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20 pounds of lollipops. 20 x .95 = 19, 10 x 1.1 = 11. sorry i'm awful at explaining math.

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