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
lidiya [134]
3 years ago
5

Cindy plans to invest for 10 years at 1.5%, compounded annually. If she hopes to have $10,000 after 10 years, how much

Mathematics
1 answer:
iogann1982 [59]3 years ago
8 0

Answer:

Use the formula for calculating compound interest PN=P0(1+rk)Nk where P0 is the unknown, PN=10,000, N=10, k=1, and r=0.015. Substitute the values into the formula and simplify.

10000=P(1+0.0151)1⋅10

10000=P(1.015)10

10000=P(1.16054...)

8616.67=P

Therefore, rounded to the nearest dollar, the initial investment needs to be $8617 to have $10,000 in 10 years.

Step-by-step explanation:

You might be interested in
PLEASE HELP QUICK
taurus [48]

Answer:

a=1/2  b=5/4  c=2^5/4 . ??

Step-by-step explanation:

I am not sure if the a is supposed to be a second exponent but I solved this as if it wasn't.

8 0
3 years ago
Read 2 more answers
| 9. The distance between Town A and Town B was 108 km. A car and a van left Town A at 12 00 for Town B. On reaching Town B, the
Westkost [7]

Answer:

a)  Time until both vehicles meet is 1.5 hours after starting at noon.  That makes it 1:30PM.

b)  Average speed of car is 84 km/h

Step-by-step explanation:

A -----------------------z------------B

          <u>Left</u>      <u>Speed(km/h)</u>      <u>Time</u>

Car:   12PM            X  

Van:   12PM           60

Car/Van

DistanceCar        AB + z

DistanceVan       Az

Ratio:                  (AB+z)/Az  = 7/5

Time until both meet = T (in hours)

Distance Car:            xT

Distance Van:           60T

====

  xT = AB + z

  60T = Az

---

(xT/60T)= (7/5)

x = 60(7/5)

x = 84 km/h

=====

Time for car to reach B is:    time (hr) = 108 km/(84 km/h)

                                                 time = 1.286 hours

Distance for at 1.289 hours is:    distance (km) = (60 km/h)*(1.286 h)

                                                   distance = 77.14 km

At 1.286 hours, the car reverses direction.  The van is (108 km - 77.14 km) or 30.86 km away.

Add the distances travelled by both vehicles after the car reverses direction at 1.286 hours.  The sum will be 30.86 km when they meet, at time of T.

Car Distance + Van Distance = 30.86 km

T(84 km/h) + t(60 km)

They meet when they are 0 km apart, which can be modeled with the following equation:

Van travel Distance - Car Travel Distance = 0 starting at 1.286 hr.

Let <u>t</u> be the time <u>after</u> 1.286 hours that both vehicles meet/collide.

t*(60 km/h)  +  t(84 km/h) = 30.86 km

t(60+84) = 30.86 km

t(144 km/h) = 30.86 km

t = 0.2143 hr

Total time until the car and van meet is 1.286 hr + 0.2143 hr for a total of 1.50 hours.

=================

a)  Time until both vehicles meet is 1.5 hours after starting at noon.  That makes it 1:30PM.

b)  Average speed of car is 84 km/h

==============

<u>CHECK</u>

Is the ratio of the distance travelled by the car and the van until they meet in the ratio of 7/5?

Car distance is (1.5 hr)(84 km/h) = 126 km

Van distance is (1.5 hr)(60 km/h) = 90.0 km

Ratio is 126/90 or 1.4

Ratio of 7/5 is 1.4

<u><em>YES</em></u>

     

3 0
2 years ago
Find f(-3) if f(x) = x 2.
vlabodo [156]

Answer:

f(-3) = 9

Step-by-step explanation:

Lets define f(a) first where a is any integer,

f(a) is found out by putting the integer in the function in place of the variable

So for the given question

f(x) = x^{2}

In order to find f(-3) we will put -3 in place of x

So putting -3,

f(-3) = (-3)^{2}

f(-3) = 9

So, the value of function at -3 is 9 ..

5 0
3 years ago
Read 2 more answers
Michaela drove south for 4 hours and went 260 miles. What was Michaela's velocity?
IrinaK [193]

Answer:

1040

Step-by-step explanation: I multiply 260, 4 times.

8 0
3 years ago
Alden has 5 siblings. His sister is 5 years older than he is and 3 times as old as his second sister. Alden's brother is 4 years
salantis [7]

Answer:Alden is 13 years old

Step-by-step explanation

Let x represent Alden's age.

Let y represent the age of his sister.

Let z represent the age of his second sister.

His sister is 5 years older than he is and 3 times as old as his second sister. This means that

y = x + 5

y = 3z

Alden's brother is 4 years younger than his second sister. It means that his brother's age is

z - 4

His brother is 2. It means that

z - 4 = 2

z = 2 + 4 = 6

y = 3z

y = 3 × 6 = 18

Substituting y = 18 into y = x + 5, it becomes

18 = x + 5

x = 18 - 5 = 13

8 0
3 years ago
Other questions:
  • 3x+y=W<br><br><br><br> Solve for X....
    15·1 answer
  • A tree is
    10·2 answers
  • Identify the percent change <br><br> 28 seconds to 23 seconds
    15·1 answer
  • The graph represents function 1 and the equation represents function 2: A graph with numbers 0 to 4 on the x-axis and y-axis at
    9·2 answers
  • What is expanded form 12.38
    7·2 answers
  • Which is bigger 80% of 150 or 3/4 of 200
    8·2 answers
  • How do you subtract 11/48 - 5/32​
    5·2 answers
  • Write the equation for the following graph (Hint: y= mx + b) Write the slope as a simplified fraction, not a decimal. Please Hel
    11·1 answer
  • For some integer q, Every odd integer is of the form<br><br>(a) q (b) q+1 (c) 2q (d) 2q+1​
    13·1 answer
  • Someone help me pls!!!!!!!!<br> math problem
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!