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Murljashka [212]
3 years ago
8

Lucas wants to have at least $4,000 in his account. He has $2,500 to deposit into an account that earns simple interest at a rat

e of 6%. What is the fewest number of years it will take Lucas to reach his goal?
Mathematics
1 answer:
Semenov [28]3 years ago
7 0

Answer:

6.25 years

Step-by-step explanation:

Simple interest = principal x time x interest rate

simple interest = $4,000 - $2,500 = $1,500

1500 = $4,000 x 0.06 x n

1500 = 240n

divide both sides by 240

n = 6.25 years

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What is the simplified form of the quantity y-squared plus 7y plus 12 over the quantity y-squared plus 8y plus 15
Burka [1]
Firstly, let's factorise each equation individually - to do this, find 2 numbers that when summed add to the value of the second term, and when multiplied give the value of the third term.

7 and 12 give us 4 and 3 (4+3=7, 4*3=12) -- 8 and 15 give us 5 and 3 (5+3=8, 5*3=15)

Now we can rewrite these equations as (y+4)(y+3) and (y+5)(y+3) respectively.

Putting this in a fraction: (y+4)(y+3)/(y+5)(y+3) -- We can clearly see that there is a y+3 on both sides of the fraction, and given there are no terms outside of the brackets being multiplied, we can directly cancel.

This gives us our final answer:
(y+4)/(y+5)
8 0
3 years ago
Please put the math too I really need it ;)
sdas [7]

Answer:1) 32.  2).  3) 21.  4) 4

Step-by-step explanation: 1) 4*8=32m, 2) I don't know, 3) 6*7=42 for the area of a square but since a triangle half it so its 21, An the last is by 4 for example 4*10=40 but if doubled its 20*8 and that equals 160. and 160/40=4

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3 years ago
Choose the following ratios as a decimal: 20 correct out of 25 problems
aliya0001 [1]

Answer:

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Step-by-step explanation:

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2 years ago
A forest covers 38,000 acres. A survey finds that 0.4​% of the forest is​ old-growth trees. How many acres of​ old-growth trees
TEA [102]
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Use the discriminant to determine the number of solutions and types of solutions for the quadratic equation, below. Then answer
Setler79 [48]

Answer:

A. Discriminant = 116

B. Number of solutions for the quadratic equation = 2

C. Type of solutions (circle one):Imaginary

D. Type of solutions (circle one):irrational

Step-by-step explanation:

The given quadratic equation is

{x}^{2}  + 8x = 13

We rewrite in standard form to get;

{x}^{2}  + 8x   - 13 = 0

The discriminant is

D =  {b}^{2}  - 4ac

where a=1, b=8, c=-13

We substitute to get:

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D = 116

Since the discriminant is great than zero, we have two distinct real roots

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3 years ago
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