1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Softa [21]
3 years ago
9

Please help with 11c!?

Mathematics
1 answer:
Contact [7]3 years ago
5 0

Answer:

"To the nearest year, it would be about 9 years"

Step-by-step explanation:

11c)

This is compound growth problem. It goes by the formula:

F=P(1+r)^t

Where

F is the future amount

P is the present (initial) amount

r is the rate of growth, in decimal

t is the time in years

Given,

P = 20,000

r = 8% = 8/100 = 0.08

F = double of initial amount = 2 * 20,000 = 40,000

We need to find t:

F=P(1+r)^t\\40,000=20,000(1+0.08)^t\\2=(1.08)^t

To solve exponentials, we can take Natural Log (Ln) of both sides:

2=(1.08)^t\\Ln(2)=Ln((1.08)^t)

Using the rule shown below we can simplify and solve:

Ln(a^b)=bLn(a)

We can write:

Ln(2)=Ln((1.08)^t)\\Ln(2)=tLn(1.08)\\t=\frac{Ln(2)}{Ln(1.08)}\\t=9.0064

To the nearest year, that would be about 9 years

You might be interested in
Malachi bought a new fishing rod. The regular price of the fishing rod was $125.99. He bought it on sale with a 15% discount. Sa
Volgvan

If the discount is 15 percent, he still pays (100-15) or 85%

125.99 * 85%

125.99 * .85 = 107.09  is the price he pays for the rod

107.09 * .03 =3.21 is the sales tax

107.09+3.21=110.30 is the price of the rod with the discount and the tax

8 0
3 years ago
Find an equation in standard form of the parabola passing through the points (1, -2), (2,-2), (3,-4)
Yuliya22 [10]
The standard form of a parabola is y=ax²+bx+c
use the three given points to find the three unknown constants a, b, and c:
-2=a+b+c............1
-2=4a+2b+c......... 2
-4=9a+3b+c...........3
equation 2 minus equation 1: 3a+b=0..........4
equation 3 minus equation 2: 5a+b=-2.........5
equation 5 minus equation 4: 2a=-2, so a=-1
plug a=-1 in equation 4: -3+b=0, so b=3
Plug a=-1, b=3 in equation 1: -2=-1+3+c, so c=-4
the parabola is y=-x²+3x-4

double check: when x=1, y=-1+3-4=-2
when x=2, y=-4+6-4=-2
when x=3, y=-9+9-4=-4
Yes.


8 0
3 years ago
The shirt costs twice as much as the shoes. Together, they cost more than $200. What is the minimum cost for each item? (Round t
miskamm [114]
$200 because you can't round toe the nearest dollar

4 0
3 years ago
Read 2 more answers
Which is the solution to the inequality 1/4+x<5/8
Masteriza [31]

Answer:

x<3/8

Add me on instagram at skyy.thatdancer

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

x+1/4<5/8

Step 2: Subtract 1/4 from both sides.

x +  1/4 - 1/4 < 5/8 - 1/4

x<3/8

7 0
3 years ago
Because of the commutative property of multiplication, it is true that
Likurg_2 [28]

Answer:

1.  3/4 + 3/4 + 3/4 +3/4

2. 0.75 * 4

Step-by-step explanation:

1. add 3/4 four times

3/4 + 3/4 + 3/4 +3/4

2. You can turn 3/4 into a decimal.  3/4 =0.75

0.75 * 4

4 0
3 years ago
Other questions:
  • Is point F interior to both circles
    8·1 answer
  • Which of the binomials below is a factor of this trinomial 3x^2+18x+24
    11·2 answers
  • Adrian knows that the quotient of 0.75 divided by 0.8 is less than 1. He knows that the quotient of 0.8 divided by 0.75 is great
    12·1 answer
  • PLZ SOMEONE QUICKLY SOLVE THIS , 10 POINTS !!!!
    8·1 answer
  • Convert the the fraction 49/125 to a decimal
    14·1 answer
  • mei rode her bike 7/10 mile to school her friend julie walked 0.07 mile to school .did the two girls travel the same distance .?
    12·2 answers
  • A substance is followed by the symbol (1) in a chemical equation. What does the symbol represent?
    11·1 answer
  • R - 2s = 14 for s <br><br> ILL MARK BRAINLIST PLS HELP !!! * solve for the indicated variable *
    15·1 answer
  • I need help asap, pls​
    11·1 answer
  • Please please help i’ll give brainliest tysm:))
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!