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
OLga [1]
3 years ago
12

Chu-Li has $100 in her piggy bank. How much will she have in her bank 40 weeks from now if she puts $1 in the bank next week, $2

two weeks from now, $3 three weeks from now, and continues to increase the amount that she puts in by $1 each week?
Mathematics
1 answer:
BigorU [14]3 years ago
6 0

Answer:

  $920

Step-by-step explanation:

The amounts added are the arithmetic sequence ...

  1, 2, 3, ... 40

The average term of this sequence is (1 +40)/2 = 20.5. The sum of the terms of this sequence is the number of terms (40) multiplied by the average term (20.5). That product is ...

  40·20.5 = 820

Chu-Li will have added $820 to her bank in 40 weeks, so the total there is ...

  $100 +820 = $920 . . . amount Chu-Li will have 40 weeks from now

You might be interested in
Evaluate
Montano1993 [528]

Step-by-step explanation:

Multiplication of fractions is easiest operation. Simply multiple numerator to numerator and denominator to denominator. For example,

\frac{x}{y} * \frac{a}{b }= \frac{x*a}{y*b}

Addition and subtraction requires that we find a common demoninator.

For example,

\frac{6}{4} + \frac{4}{3}

The common denominator is 12. So I need to muliply each fraction to get the right denominator. 4*3 = 12.

\frac{6}{4}*\frac{3}{3} + \frac{4}{3} \frac{4}{4} = \frac{18}{12}+\frac{16}{12}

Then we add the numerators

\frac{18+16}{12} = \frac{32}{12}

Then we should reduce.

\frac{16}{6} = \frac{8}{3}

Division is a little trickier because we have to flip-flop the second term and then multiply. For example: \frac{1}{10} \div \frac{5}{6} \rightarrow \frac{1}{10} * \frac{6}{5} = \frac{6}{50}

3 0
3 years ago
Working as an insurance salesperson, Ilya earns a base salary and a commission on each new policy, so Ilya’s weekly income, II,
Morgarella [4.7K]

Answer:

l(n) = 80n + 520

Step-by-step explanation:

From the information given in the  question, there is a relationship between the number of new policy sold, n, and earning, I

           For 3 new policies, he earned $760

           For 5 new policies, he earned $920.

The rate of change of IIya's earning with respect to number of new policy sales is

             m = \frac{dI}{dn}

             m = \frac{920 - 760}{5 - 3}

             m = $160 / 2 policies

             m = $80 / policy

The linear equation for the relationship is;

             l(n) = mn + b

I(n) is Ilya’s weekly income which is a function of the number of new policies, n

m is the rate of change of I with respect to n

n is the number of new policies,

b is the intial function which is IIya's income when n equals zero

Recall, Ilya earns a commission of $80 for each policy sold during the week. (m = $80 per policy)

                 l(n) = 80n + b

To complete the relationship l, we need to calculate the initial value b.

For 3 new policies, he earned $760,

             760 = 80(3) + b

             760 = 240 + b

             b = 760 - 520

             b = 520

The final equation is l(n) = 80n + 520

From the final equation, we can deduce that Ilya’s weekly salary is $520 and he earns an additional $80 commission for each new policy sold.

6 0
3 years ago
The line plots show the results of the number of dollars two different age groups of teenagers
kicyunya [14]

Answer:

Step-by-step explanation:

100.9

8 0
2 years ago
Which equation is equivalent to 2^4x=8^x-3?
slavikrds [6]

Answer:

D

Step-by-step explanation:

8 0
3 years ago
TEN POINTS!!!!! find the equivalent exponential expression (4^3)^5
Tanya [424]

Answer:

4^15

Step-by-step explanation:

We multiply both exponents 3 and 5

So we get:

4^15

Hope this helps

Good Luck

3 0
3 years ago
Other questions:
  • Ami and Ria are playing a game where one of them would pick up a card and the other would guess the number. Ami picked up a card
    5·2 answers
  • A. 30<br> B. 6<br> C.32<br> D.22
    8·1 answer
  • What is the value of f(4) if f(x) = 2x?<br> A. 2<br> B. 6<br> C. 8<br> D. 10
    11·1 answer
  • State if the point (-3, -2) is a solution to the system of equations below.
    13·1 answer
  • Research scientists need a certain type of bacteria to conduct an experiment. There are 2,500 bacteria in a certain culture. The
    10·1 answer
  • A set of ordered pairs is below : ( 3, 2 ) , ( 6, 2 ) , ( -6, 4 ) , ( -4, 6 ) , ( 3, 2 ) . is it a function? list the domain and
    9·1 answer
  • PLEASE ANY REAL PERSON WHO CAN HELP ME IVE BEEN WAITING LIKE 30 MINUTES
    13·1 answer
  • Please help I will give brainliest.
    13·1 answer
  • The length, l, of the shadow cast by an object varies directly as the height, h, of the object. If k is the constant of variatio
    12·2 answers
  • <img src="https://tex.z-dn.net/?f=%5Csf%5Clarge%5Cgreen%7B%5Cunderbrace%7B%5Cred%7BQuestion%2A%7D%7D%7D%3A" id="TexFormula1" tit
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!