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
Reptile [31]
3 years ago
13

You invest $6000 into an account paying 3.75% annual interest compounded bimonthly(every 2 months), and you want to have $10,000

saved for your first year of college. How long will it take for your investment to grow that large? Round your answer to the nearest whole number.
Mathematics
1 answer:
Effectus [21]3 years ago
4 0
The formula is
A=p (1+r/k)^kt

A future value 10000
P present value 6000
R interest rate 0.0375
K compounded every two months 6
T time?

We need to solve for t
T= [log (A/p)÷log (1+r/k)]÷k
T=(log(10,000÷6,000)÷log(1+0.0375÷6))÷6
T=13.7 years
Round your answer to get
T=14 years
You might be interested in
Jolene invests her savings in two bank accounts, one paying 4 percent and the other paying 10 percent simple interest per year.
Nostrana [21]

Answer:

<h2>$ 22200 in higher yielding bank and $ 44400 in lower yielding bank</h2>

Step-by-step explanation:

       Jolene invests in two bank accounts. The first account gives a 4% interest per year and the second bank gives a 10% interest rate per year.

       She puts twice as much in the lower yielding bank account. Let us denote the amount put in high yielding bank account by x. Lower yielding bank account will have 2x.

       Interest\text{ }per\text{ }year=Principal\times Interest\text{ }rate

Interest from lower yielding bank = \dfrac{4}{100} \times 2x=\dfrac{8x}{100}

Interest from higher yielding bank = \dfrac{10}{100} \times x=\dfrac{10x}{100}

Total Interest per year = $ 3996 = \dfrac{8x}{100} +\dfrac{10x}{100}=\dfrac{18x}{100}

x=22200 \$

∴ Jolene invested $ 22200 in higher yielding bank and $ 44400 in lower yielding bank.

4 0
3 years ago
Solve the system of two linear inequalities graphically.
Sladkaya [172]

Answer:

See attachment

Step-by-step explanation:

Isolate y in the first inequality:

2x + 4y < -16\\4y < - 16 -2 x\\y < -4 -\frac{1}{2} x\\y < -\frac{x+8}{2} \\

Now, with both x and y inequalities found, graph it.

7 0
2 years ago
EVALUATE THE FUNCTION REQUESTED. WRITE YOUR ANSWER AS A FRACTION IN LOWEST TERMS
Kryger [21]

Answer:

• From trigonometry ratios:

{ \boxed{ \rm{ \sin(A)  =  \frac{opposite}{hypotenuse} }}} \\

  • opposite → 28
  • hypotenuse → 35

{ \rm{ \sin(A)  =  \frac{28}{35} }} \\  \\ { \boxed{ \boxed{ \rm{ \:  \sin(A) =  \frac{4}{5}  \:  }}}}

3 0
3 years ago
2/3
Veronika [31]

Answer:

2/3

4

3.

An airplane is flying from New York City to Los Angeles. The distance it travels in

miles, d, is related to the time in seconds, t, by the equation d = 0.15t.

d= 0.15

1

0.157

t

(seconds)

1

30

d

(miles)

0.15

0.15 x 1

0.15 x 30

12.75

a.

How fast is it flying? Be sure to include the units.

b.

How far will it travel in 30 seconds?

C.

How long will it take to go 12.75 miles?

4.

Crater Lake in Oregon is shaped like a circle with a diamet

Step-by-step explanation:

7 0
3 years ago
One number is 18 more than another number. The sum of the numbers is 36. find the numbers
tatuchka [14]

We can use a system of equations in order to solve for both of the numbers. Let's start off by assigning variables to each number. The bigger number can be 'x', and the smaller number can be 'y'.

We can make two equations from the given:

x = 18 + y

("One number is 18 more than another number")

x + y = 36

("The sum of the numbers is 36")

If you look at the first equation, the variable 'x' already has a value (18 + y). We can input its value into the second equation in order to solve for y:

x + y = 36

(18 + y) + y = 36

18 + 2y = 36

2y = 18

y = 9

Input the value of 'y' into the first equation:

x = 18 + y

x = 18 + 9

x = 27

<u>One number is 27 and the other number number is 9.</u>

<u></u>

Let me know if you'd like me to explain anything I did here.

- breezyツ

7 0
4 years ago
Other questions:
  • In how many different ways can 5 books be arranged on a shelf?
    15·1 answer
  • The vertical height v, in feet, of a snowboarder jumping off of an overhang can be modeled by the function h(t)=15-10t-16t^2, wh
    7·2 answers
  • Please help me answer these questions I don’t know.
    14·1 answer
  • Double fact you can use to find the sum
    10·1 answer
  • I need help with 8 &amp; 9 please
    10·1 answer
  • Find the value x in the triangle shown below.
    14·2 answers
  • Please someone answer! please hurry . i’ll give you the brainliest!! please
    13·1 answer
  • Please help :p - will give brainliest if correct
    8·1 answer
  • -
    10·1 answer
  • Easton wants to put a variety of donuts in a display case. The case is large enough to hold 100 donuts. Complete the table below
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!