answer.
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
AleksandrR [38]
2 years ago
5

Wendy opens a bank account with money she has saved. After this initial deposit, Wendy then deposits the same amount of money ea

ch week. Using the table below, how much was her initial deposit? x y Week Balance in Dollars 1 76 2 92 3 108 4 124 A. $60 B. $76 C. $16 D. $50
Mathematics
2 answers:
Bess [88]2 years ago
8 0

If the table is:


x | y

------

1 | 76

------

2 | 92

---------

3 | 108

-----------

4 | 124



-------------------------------------------------------------------------------------------------------------------


Find the change inbetween each amount per week


92 - 76 = 16

108 - 92 = 16


etc.


This means that her initial deposit should be subtracting 16 from her first deposit.


76 is the amount first deposited


76 - 16 = 60


A) $60 should be your answer


hope this helps

adelina 88 [10]2 years ago
7 0

Answer with Step-by-step explanation:

Week     Balance in Dollars

1                76

2               92

3               108

4               124

Finding the change in between each amount per week

92 - 76 = 16

108 - 92 = 16

...

This means she deposited $16 each week

This means that her initial deposit can be calculated by subtracting 16 from her balance in first week

76 - 16 = 60

This means initial deposit in her account was:$60

Hence, Correct option is:

A. $60

You might be interested in
A karate center has 120 students. The director wants to set a goal to motivate her instructors to increase student enrollment. U
iVinArrow [24]
A) Plan A requires for a percentage increase of a number of students. This means that year after year the number of new students will increase. Plan B requires for a constant number of new students each year. This means that year after year the percentage increase would get smaller.

B) To solve this problem we will use formula for a growth of population:
final = initial * (1+percentage)^{t}
Where:
final = final number of students
initial = initial number of students
percentage = requested percentage increase
t = number of years

We can insert numbers and solve for t:
240= 120* (1+0.12)^{t}  \\ 2=1.12^{t}   \\ log2=log(1.12^{t} ) \\ log2=t*log1.12 \\ t= \frac{log2}{log1.12}  \\ t=6.12years

For Plan B we can use simple formula
increase = 120
increase per year = 20
number of years = increase / (increase per year) = 120 / 20 = 6 years

Plan B is better to double the <span>enrollment.


C)We use same steps as in B) to solve this.
</span>

360= 120* (1+0.12)^{t} \\ 3=1.12^{t} \\ log3=log(1.12^{t} ) \\ log3=t*log1.12 \\ t= \frac{log3}{log1.12} \\ t=9.69years

For Plan B we can use simple formula
increase = 240
increase per year = 20
number of years = increase / (increase per year) = 240 / 20 = 12 years

Plan A is better to triple the enrollment.
3 0
2 years ago
You plan to accumulate 100,000 at the end of 42 years by making the follow-
Mariana [72]

Answer:

  Y = 479.17

Step-by-step explanation:

At the end of year 14, the balance from the deposits of X can be found using the annuity due formula:

  A = P(1+r/n)((1 +r/n)^(nt) -1)/(r/n)

where P is the periodic payment, n is the number of payments and compoundings per year, t is the number of years, and r is the annual interest rate.

  A = X(1.07)(1.07^14 -1)/0.07 ≈ 24.129022X

This accumulated amount continues to earn interest for the next 28 years, so will further be multiplied by 1.07^28. Then the final balance due to deposits of X will be ...

  Ax = (24.129022X)(1.07^28) = 160.429967X

__

The same annuity due formula can be used for the deposits of Y for the last 10 years of the interval:

  Ay = Y(1.07)(1.07^10 -1)/.07 = 14.783599Y

__

Now we can write the two equations in the two unknowns:

  Ax +Ay = 100,000

  X - Y = 100

From the latter, we have ...

  X = Y +100

So the first equation becomes ...

  160.429967(Y +100) +14.783599Y = 100000

  175.213566Y +16,043.00 = 100,000

  Y = (100,000 -16,043)/175.213566 ≈ 479.17

Y is 479.17

7 0
1 year ago
A square OABC with the length of a side 6 cm and circle k(O) with a radius 5 cm are given. Which of the lines OA , AB , BC , or
Pavel [41]

Answer:

AC and OA

Step-by-step explanation:

-A secant is a  line connecting two points on the circle.

-Given the square OABC of sides 6cm and a circle of r=5cm and  the center of the circle as O, and that the radius of the circle is less than the side of the square:

-The circle passes through OA and OC, but doesn't pass through AB and BC.

Hence, AC and OA are the circle's secants.

5 0
2 years ago
What is 4973 divided by 7
Firlakuza [10]
The answer is 710.42
3 0
2 years ago
Read 2 more answers
Which statement is true regarding the graphed functions?
anyanavicka [17]

Answer:

the last option: f(-2)=g(-2)

Step-by-step explanation:

Make sure you have the numerical answer for each of the functional expressions that are shown among the possible solution choices:

f(4) = -14  (what the blue function reads  [its y-value] when x is 4)

g(4) = 10  (what the red function reads [its y-value] for x=4)

g(-2) = 4 (y-value of the red function when x is -2)

f(2) = -8 (y-value of the blue function for x = 2)

f(-2) = 4 (y-value of the blue function for x =-2)

use them to compare the options they give you, and the only one that matches is the last option.

3 0
1 year ago
Other questions:
  • Carmen buys 153 shares of Cawh Consolidated Banks, each of which pays a constant yearly dividend of $7.14. After six years, how
    8·2 answers
  • A botanist predicts that the height of a certain tree will increase by 2% every year. If the height of the tree is now 50 feet,
    12·1 answer
  • Write the standard form of the line that contains a y-intercept of -3 and passes through the point (3, 0). Include your work in
    5·1 answer
  • If LM = 22 and MN = 15, find LN
    12·2 answers
  • Given two vectors a⃗ =4.00i^+7.00j^ and b⃗ =5.00i^−2.00j^ , find the vector product a⃗ ×b⃗ (expressed in unit vectors). what is
    11·2 answers
  • Archie and Veronic are located one mile (5280 ft) apart on the ground. They observe a blimp directly over the road between them.
    6·1 answer
  • Consider the three functions: f(x) = Three-halves(4)x g(x) = Three-halves(4)–x h(x) = –Three-halves(4)x Which statements are tru
    10·2 answers
  • If 10 cows eat at much as 6 oxen how many oxen will eat as much as 15 cows ?​
    7·2 answers
  • Entre Celia y Quique suman 14€. Si Celia tuviera 1 €, tendría el doble de dinero que Quique.¿ Cuanto dinero tiene cada uno?
    12·2 answers
  • What is the simplified form of the following expression? 2 StartRoot 27 EndRoot + StartRoot 12 EndRoot minus 3 StartRoot 3 EndRo
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!