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LekaFEV [45]
3 years ago
8

The value of a bank account, y, increases by 5% each year, x. If the initial value of the account is $800, which equation repres

ents this situation?
Mathematics
1 answer:
Mashcka [7]3 years ago
6 0

Answer:

Equation to represent the situation = 800=Y(1.05)^X

Step-by-step explanation:

Given:

Initial investment = Y

Growth rate (r) = 5% = 5 / 100 = 0.05

Number of year (n) = X year

Amount after X year = $800

Find:

Equation to represent the situation:

Computation:

Amount = Initial\ investment (1+r)^n\\\\800 = Y (1+0.05)^X\\\\800 = Y (1.05)^X\\\\

Equation to represent the situation = 800=Y(1.05)^X

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A certain car dealership sells economy cars, luxury cars, and sport utility vehicles. The ratio of economy to luxury cars is 3:2
alexira [117]

Answer:

B) 8:9

Step-by-step explanation:

Please refer to the attached image for explanations

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4 years ago
1.Match the graph to the number of solutions. Choose: -One solution -infinite solutions -two solutions -three solutions no solut
Aleks [24]
Hello : 
look : x-intercept
f(x) = 0 has :
1) one solution
2) two solutions
3) no solutions


3 0
3 years ago
According to the instructions on a bag of fertilizer, 5 pounds fertilizer are needed for every 1000 square feet of lawn . How ma
Pie
Answer: 3000 square feet

15 is 3 times 5
So multiply 1000 by 3
8 0
3 years ago
A fisherman can row upstream at 2 mph and downstream at 8 mph. He started rowing upstream until he got tired and then rowed down
slega [8]
<h3>Answer:    16 miles</h3>

==========================================================

Explanation:

x = time in hours spent going upstream

5-x = remaining time in hours spent going downstream

Those two quantities add to 5 hours total.

Let's find the expression for how far the fisherman went upstream

distance = rate*time

d = r*t

d = 2x

Do the same for the downstream portion

d = r*t

d = 8(5-x)

d = 40-8x

The values of d refer to the same distance because he came back to the starting point.

Set those right hand sides equal to one another and solve for x.

2x = 40-8x

2x+8x = 40

10x = 40

x = 40/10

x = 4

5-x = 5-4 = 1

He spent 4 hours going upstream, and the remaining 1 hour coming back downstream.

--------------

If he spent 4 hours going upstream at 2 mph, then he traveled d = r*t = 2*4 = 8 miles.

The remaining 1 hour going downstream at 8 mph means he traveled d = r*t = 8*1 = 8 miles, which matches with the previous result. This confirms we have the correct one-way distance of 8 miles.

Therefore, the total round trip distance is 2*8 = 16 miles

3 0
2 years ago
An orchard has 40 rows of trees. Each row is a set number
Bumek [7]

Answer:

a)4080 trees

b)104 trees

Step-by-step explanation:

<u>1st - 24 trees</u>

<u>last (40th) - 180 trees</u>

If differences between any row (except 40th) and next row are equal then

<u>2nd - 24 trees+X</u>

<u>3rd - (2nd+X) or 24 trees + 2X</u>

coefficient of X is <u>number of row minus 1</u>, therefore 40th row has <u>24 trees + 39X</u>, and it is equal to <u>180</u>. We can make an equation from this:

<u>24tr+39X=180tr</u>

<u>39X=156tr</u>

<u>X=4tr</u>

By this we can find how many trees are there in the 21st, 21st row has 24 trees+20X=24 trees+80 trees=104 trees

To find how many trees are there in the whole orchard, we add them all:

<u>1st - 24 trees, 2nd - 24 trees + X, 3rd - 24 trees + 2X,</u>

easily, it is just <u>24 trees x 40 + 39X x 20 = 4080 trees</u>

6 0
1 year ago
Read 2 more answers
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