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
Leni [432]
3 years ago
15

Please help!

Mathematics
1 answer:
zhuklara [117]3 years ago
6 0

Exponential Growth Formula: y = b(1+r)^t

b = 315\\r = 0.06\\t = 7\\\\y = 315(1+0.06)^7\\y = 315(1.06)^7\\y = 315(1.50363)\\y = 473.64345\\y = 473.64

After 7 years, she will make $473.64

You might be interested in
Use a fraction strips to find some. Write your answer in simplest form 1/3+1/4
Bond [772]
7/12 - common denominator then add
4 0
3 years ago
Read 2 more answers
Is x great thank, less than or equal to 146
bogdanovich [222]

Answer:

i think its less than

6 0
2 years ago
Read 2 more answers
PLEASE HELP!!!!<br> Which of these pair of functions are inverse functions?
Mamont248 [21]

Answer:

Option B and C are correct.

Step-by-step explanation:

Inverse function: If both the domain and the range are R for a function f(x), and if f(x) has an inverse g(x) then:

f(g(x)) = g(f(x)) = x for every x∈R.

Let f(x) = \frac{1}{2}(\ln(\frac{x}{2}) -1) and g(x) = 2e^{2x+1}

Use logarithmic rules:

  • ln e^a = a
  • e^{lnx} = x
  • \ln a^b = b\ln a

then, by definition;

f(g(x)) = f(2e^{2x+1}) =\frac{1}{2}(\ln(\frac{2e^{2x+1}}{2})-1) = \frac{1}{2}(\ln(e^{2x+1}}){-1) = \frac{1}{2} (2x+1-1) =\frac{1}{2}(2x) = x

g(f(x)) = g(\frac{1}{2}(\ln(\frac{x}{2}) -1)) = 2e^{2({\frac{1}{2}(\ln(\frac{x}{2}) -1})+1 2e^{(\ln(\frac{x}{2}) -1+1}=2e^{\ln(\frac{x}{2})} =2\cdot \frac{x}{2} = x

Similarly;

for f(x) = \frac{4 \ln(x^2)}{e^2} and g(x) = e^{\frac{e^2 \cdot x}{8} }

then, by definition;

f(g(x)) = f(e^{\frac{e^2 \cdot x}{8}}) =\frac{4 \ln {(\frac{e^2 \cdot x}{8})^2}}{e^2} = \frac{8 \ln {(\frac{e^2 \cdot x}{8})}}{e^2} =\frac{8\frac{e^2\cdot x}{8} }{e^2}=\frac{8e^2 \cdot x}{8e^2}=x

Similarly,

g(f(x)) = x

Therefore, the only option B and C are correct. As the pairs of functions are inverse function.

3 0
3 years ago
jacks mom purchased a savings bond for jack. the value of the savings bond increases by 5% each year. one year after it was purc
aalyn [17]

Answer:

Step-by-step explanation:

4 0
3 years ago
He function f(d) = –3d + 60 gives the remaining life of a flashlight battery, in hours, d days after the start of a hike.
OLga [1]
D 
The battery has  60 hours of life.
7 0
3 years ago
Other questions:
  • Find the factors of the expression 8x6 + 27y
    5·1 answer
  • Why did the Mountain Men era come to an end?
    12·1 answer
  • How do you subtract and add integers
    11·2 answers
  • A square field has an area 121 square meters.What is the perimeter of the field?
    15·2 answers
  • What is the amplitude of the function graphed? Enter your answer in the box.
    5·1 answer
  • What is the radius and diameter of the following circle?<br> 7.5 cm
    7·1 answer
  • I need help with just 1 and 2.
    7·1 answer
  • Which graph represents the inequality x greater-than 6?
    7·2 answers
  • A bubble may be enclosed in a square whose side
    15·1 answer
  • Find missing part of the until rate 40students/5groups = ??/??
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!