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Damm [24]
3 years ago
15

Garrett chooses to invest $1800 in a simple. The account earns 3% interest over 5 years which equation represents garrets invest

ment
Mathematics
1 answer:
Alla [95]3 years ago
6 0

The interest earned in 5 years would be $270

<u>Explanation:</u>

Given:

Principal, P = $1800

Rate of interest, r = 3%

Time, t = 5 years

Simple interest, I = ?

We know,

I = \frac{p X r X t}{100}

On substituting the value we get

I = \frac{1800 X 3 X 5}{100} \\\\I = 270

Therefore, interest earned in 5 years would be $270

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a mechanic worked 20 hours. another mechanic worked 15 hours. together they charged a total of $1950. what was the rate charged
Natasha_Volkova [10]

Answer: The mechanics both charged $70 and $45 per hour respectively

Step-by-step explanation: We shall start by calling the mechanics hourly rates x and y respectively. So if one worked for 20 hours and charged 20 times x dollars, and the other one worked for 15 hours and charged 15 times y dollars, totalling 1950 dollars, we can write the following expression,

20x + 15y = 1950

Also, if the sum of the two rates was 115 dollars, that means for working for an hour only, they both would earn

x + y = 115

We now have a pair of simultaneous equations

20x + 15y = 1950 --------(1)

x + y = 115 ------------------(2)

We shall use the substitution method for this problem.

From equation (2), make x the subject of the equation

x = 115 - y

Substitute for the value of x into equation (1)

20(115 - y) + 15y = 1950

2300 - 20y + 15y = 1950

By collecting like terms we now have

2300 - 1950 = 20y - 15y

(Note that when a negative value crosses to the other side of the equation, it becomes a positive value and vice versa)

350 = 5y

Divide both sides of the equation by 5

70 = y

We now substitute for the value of y into equation (2)

x + y = 115

x + 70 = 115

Subtract 70 from both sides of the equation

x = 45.

Therefore, the rate they charged per hour were $45 and $70 respectively.

7 0
3 years ago
What is a^{-5} simplified?
BARSIC [14]

Answer:

1/a^5

Step-by-step explanation:

a^-5=1/a^5

5 0
3 years ago
Read 2 more answers
A laptop computer is normally $1299 but is discounted to $999. What percent of the original price does
Diano4ka-milaya [45]

Answer:

76.90%

Step-by-step explanation:

100/1299*999= 76.9053117783 - 100 = -23.0946882217

8 0
2 years ago
Question 2
xz_007 [3.2K]

The correct answer is: x = 8 (Option D)

Explanation:

Given ΔABC≅ΔDFE (Triangle ABC is congruent to triangle DFE).

It means that angle B is congruent to angle F, and C is congruent to E ( likewise A is congruent to D). By using this argument, we can say that, BC≅FE. Consequently, we can safely say that the lengths of those sides are also equal in measure. Therefore,

BC = 20

FE = 3x - 4

Since,

BC = FE (By using congruence statement mentioned above)

20 = 3x - 4

3x = 20+4

3x = 24

x = 8

Hence the correct answer is: x = 8

6 0
2 years ago
: Maria attended a Chicago Cubs baseball game last night. The ticket to get into the game was $39.00 and hot dogs cost $5.50 eac
PIT_PIT [208]

Answer: 3

Step-by-step explanation:

At first you would subtract 39 from 60. Then you would do 21/5.5 and you would get 3.818… and due to the fact you can't go over 60 you would round to 3 and not 4

8 0
3 years ago
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