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
Liono4ka [1.6K]
3 years ago
14

How much would you have in your account if you invested $1000 at an interest rate of 8% compounded quarterly for 20 years.​

Mathematics
1 answer:
goblinko [34]3 years ago
5 0

Answer:

A = $4,926.80

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 8/100

r = 0.08 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 1,000.00(1 + 0.08/12)(12)(20)

A = 1,000.00(1 + 0.006666667)(240)

A = $4,926.80

You might be interested in
PLEASE HALPPPPPPP
sasho [114]

Answer:

k

Step-by-step explanation:

i think it's 75

3 0
4 years ago
The hypotenuse of a right triangle measures 15 cm and one of its legs
Kay [80]

Answer:

[see below]

Step-by-step explanation:

Use the Pythagorean Theorem.

a^2+b^2=c^2

'c' will be the hypotenuse.

The hypotenuse is 15 cm.  One of the legs is 5 cm.

5^2+b^2=15^2\\\\25 + b^2 = 225\\\\25-25+b^2=225-25\\\\b^2=200\\\\\sqrt{b^2}=\sqrt{200}\\\\  b=14.1421356237..., -14.1421356237

14.1421356237 ≈ 14.1

The other leg should be about 14.1 cm.

Hope this helps.

4 0
3 years ago
Read 2 more answers
PLZ HELP ME THIS DUE TODAY!!!!
aev [14]

Answer:

1. -6.5

2. -21/4

3. -4

Your Welcome!

8 0
3 years ago
Solve the equation.<br> у+ 3 = -у +9<br> y=1<br> y= 3<br> y= 6<br> y= 9
Anna007 [38]
The first y equals -3 and the second y equals -9
8 0
3 years ago
Help with this..but not Pauline helms she is unhelpful tutor.
romanna [79]

Since the tangent of B is 4/3, then:

\begin{gathered} \frac{AC}{BA}=\frac{4}{3} \\ \Rightarrow AC=\frac{4}{3}BA \end{gathered}

On the other hand, since ABC is a right triangle with hypotenuse BC, then:

(BA)^2+(AC)^2=(BC)^2

Substitute AC=3/4 BA and BC=15 to find BA:

\begin{gathered} (BA)^2+(\frac{4}{3}BA)^2=15^2 \\ \Rightarrow BA^2+\frac{16}{9}BA^2=15^2 \\ \Rightarrow(1+\frac{16}{9})BA^2=15^2 \\ \Rightarrow\frac{25}{9}BA^2=15^2 \\ \Rightarrow BA^2=\frac{9}{25}\cdot15^2 \\ \Rightarrow BA=\sqrt[]{(\frac{9}{25}\cdot15^2)} \\ \Rightarrow BA=\frac{3}{5}\cdot15 \\ \Rightarrow BA=9 \end{gathered}

Substitute BA=12 into the expression for AC to find its value:

AC=\frac{4}{3}BA=\frac{4}{3}(9)=12

On the other hand, we know that:

BD+DA=BA

Substitute BA=12 and DA=3 to find BD:

\begin{gathered} BD+3=9 \\ \Rightarrow BD=9-3 \\ \Rightarrow BD=6 \end{gathered}

Finally, since BDE and BAC are similar triangles, we know that:

\begin{gathered} \frac{DE}{BD}=\frac{AC}{BA} \\ \Rightarrow DE=\frac{AC}{BA}\times BD \end{gathered}

Substitute AC=12, BA=9 and BD=6 to find the length DE:

\begin{gathered} DE=\frac{12}{9}\times6 \\ \Rightarrow DE=8 \end{gathered}

Therefore, the length of DE is:

8

3 0
1 year ago
Other questions:
  • Try and solve this math problem
    15·1 answer
  • Hi someone please help me I'm not sure how to do thissss
    14·1 answer
  • What is 9 times 52 using mental math property
    14·1 answer
  • In the diagram of circle C, m∠VWX is 43°. What is measure of arc VX?
    14·2 answers
  • A trundle wheel is used by surveyors to measure distances. It consits of a circular disc attached to a handle. One revolution of
    10·1 answer
  • The value of a car, C(t), t years after 2011, is modeled by the following function.
    8·2 answers
  • For what value of x does 4^x=(1/8)^x+5?
    14·1 answer
  • <img src="https://tex.z-dn.net/?f=567x%5E%7B2%7D%20%5Calpha%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%263%5C%5C4%265%266%5C%
    5·1 answer
  • 3. Find the measure or arc JK.
    8·1 answer
  • Maria rents a bicycle while on vacation. It costs a flat fee of$19.95 plus $5.50 an hour. If Maria rents it for 3 1/2 hours. Wha
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!