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joja [24]
3 years ago
11

An amount of $15,000 is invested in a fund that has a return of

Mathematics
1 answer:
IrinaVladis [17]3 years ago
6 0

Answer:

$12000 should be invested in a fund with a 4% return.

Step-by-step explanation:

Consider the provided information.

An amount of $15,000 is invested in a fund that has a return of  6%.

We need to calculate how much money is invested in a fund with a 4% return if the  total return on both investments is $1380.

Let $x should be invested in a fund with a 4% return.

The above information can be written as:

1380=15000\times 6\%+x\times 4\%

1380=15000\times \frac{6}{100}+x\times \frac{4}{100}

1380=150\times6+x\times 0.04

1380-900=0.04x\\480=0.04x\\x=12000

Hence, $12000 should be invested in a fund with a 4% return.

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will a 13 inch rusty metal bar fit into a box (rectangular prism) with dimensions 9 inches by 8 inches by 3 inches?
wariber [46]

Answer:

Bar will not fit in the box.

Step-by-step explanation:

Given:

Length = 9 in

Width = 8 in

Height = 3 in

Length of bar = 13 in

Find:

Bar fit in box or not

Computation:

If length of bar is equal to length of diagonal  than it will fit in box.

Diagonal of a cuboid = √l² + b² + h²

Diagonal of a cuboid = √9² + 8² + 3²

Diagonal of a cuboid = √81 + 64 + 9

Diagonal of a cuboid = √154

Diagonal of a cuboid = 12.40 in

Diagonal of a cuboid < Length of bar

So,

Bar will not fit in the box.

3 0
2 years ago
Read 2 more answers
What is the slope of the line below?
Flauer [41]

Answer:

Undefined

Step-by-step explanation:

Vertical lines cannot be functions, since they yield multiple y-values for one single x-value.

6 0
2 years ago
Help me asap Please!!!
BabaBlast [244]
3.14, 2.2, 2.85, 4.4

In order they would be

Sqrt(5), Sqrt(8), pi, 2Sqrt(5)
7 0
3 years ago
28.6% of city employees ride the bus to work. Last year, 29.7% of city employees rode the bus to work. What is the relative chan
yaroslaw [1]

A percentage is a way to describe a part of a whole. The relative change from last year to this year is 3.7%.

<h3>What are Percentages?</h3>

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

28.6% of city employees ride the bus to work, therefore, the final value is 28.6. While Last year, 29.7% of city employees rode the bus to work, therefore, the initial value is 29.7.

Since relative change means change with respect to some value. Thus, the relative value with respect to last year is,

Relative value = (29.7-28.6)/29.7 = 0.037 = 3.7%

Hence, the relative change from last year to this year is 3.7%.

Learn more about Percentages:

brainly.com/question/6972121

#SPJ1

8 0
1 year ago
An airplane travels 5040 kilometers against the wind in 9 hours and 6660 kilometers with the wind in the same amount of time. Wh
dmitriy555 [2]

Answer:

Wyzant

Question

Flying against the wind, an airplane travels 4200 km in 7 hours. Flying with the wind, the same plane travels 4000 km in 4 hours. What is the rate of the plane in still air and what is the rate of the wind?

Answer · 1 vote

Let Va = the velocity of the airplane Let Vw = the velocity of the wind When flying with the wind: (Va+Vw)*(4 hours) = 4000 4Va + 4Vw = 4000 4Vw = 4000 - 4Va Vw = 1000 - Va When flying against the wind: (Va-Vw)*(7 hours) = 4200 km7Va - 7Vw = 4200 Substitute 1000-Va for Vw and solve for Va: 7Va - 7(1000-Va) = 4200 7Va -7000 + 7Va = 4200 14Va = 11200 Va = 800 km/hr Rate of wind: Vw = 1000 - Va = 1000 - 800 = 200 km/hour

More

Socratic

Question

Flying against the wind, an airplane travels 4500 in 5 hours. Flying with the wind, the same plane travels 4640 in 4 hours. What is the rate of the plane in still air and what is the rate of the wind?

Answer · 0 votes

The speed of plane in still air is 1030 km/hr and wind

Step-by-step explanation:

6 0
2 years ago
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