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
Lunna [17]
3 years ago
9

Janet invested $10,000, part at 2% and part at 12%. if the total interest at the end of the year is $600, how much did she inves

ted at 2%
Mathematics
1 answer:
Ivan3 years ago
3 0

Janet invested $6000 at 2 %.

Let <em>x</em> = amount invested at 2 %. Then 10 000 - <em>x</em> = amount invested at 12 %

interest at 2 % + interest at 12 % = 600

0.02<em>x</em> + 0.12(10 000 –<em> x</em>) = 600

0.02<em>x</em> + 1200 – 0.12<em>x</em> = 600

0.10<em>x</em> = 600

x = 600/0.10 = 6000

You might be interested in
If f(x) = x/2 -3 and g(x) = 3x2 +x-6 find (f+g) (x)
ankoles [38]

Answer:

A

Step-by-step explanation:

(f+g)(x)=f(x) + g(x)=(x/2)-3+3x^2+x-6=3x^2+(3/2)x-9

5 0
3 years ago
If AC = 14, what is the measure of AD? Round your answer to the nearest hundredth.
Vitek1552 [10]

Answer:

If I could rearrange the alphabet, I’d put ‘U’ and ‘I’ together

Step-by-step explanation:

3 0
3 years ago
How do i solve for x​
Rus_ich [418]
That the answer for x

4 0
3 years ago
Read 2 more answers
1)simplify the expression (2x)^4 2)the perimeter of a rectangular is twice the sum of its length and its width. the perimeter is
Marta_Voda [28]
(2x)^4=16x^4
------------------------------------------
2(l+w)=16\\&#10;l=2w+2\\\\&#10;2(2w+2+w)=16\\&#10;6w+4=16\\&#10;6w=12\\&#10;w=2\\\\&#10;l=2\cdot2+2\\&#10;l=6&#10;
-------------------------------------------
-3+yi=x+6i\Rightarrow x=-3 \wedge y=6
5 0
3 years ago
"Suppose an object falling in the atmosphere has mass m=15kg and the drag coefficient is γ=9kg/s. Recall that the differential e
Art [367]

Answer:

a. v(t)= -6.78e^{-16.33t} + 16.33 b. 16.33 m/s

Step-by-step explanation:

The differential equation for the motion is given by mv' = mg - γv. We re-write as mv' + γv = mg ⇒ v' + γv/m = g. ⇒ v' + kv = g. where k = γ/m.Since this is a linear first order differential equation, We find the integrating factor μ(t)=e^{\int\limits^  {}k \, dt } =e^{kt}. We now multiply both sides of the equation by the integrating factor.

μv' + μkv = μg ⇒ e^{kt}v' + ke^{kt}v = ge^{kt} ⇒ [ve^{kt}]' = ge^{kt}. Integrating, we have

∫ [ve^{kt}]' = ∫ge^{kt}

    ve^{kt} = \frac{g}{k}e^{kt} + c

    v(t)=   \frac{g}{k} + ce^{-kt}.

From our initial conditions, v(0) = 9.55 m/s, t = 0 , g = 9.8 m/s², γ = 9 kg/s , m = 15 kg. k = y/m. Substituting these values, we have

9.55 = 9.8 × 15/9 + ce^{-16.33 * 0} = 16.33 + c

       c = 9.55 -16.33 = -6.78.

So, v(t)=   16.33 - 6.78e^{-16.33t}. m/s = - 6.78e^{-16.33t} + 16.33 m/s

b. Velocity of object at time t = 0.5

At t = 0.5, v = - 6.78e^{-16.33 x 0.5} + 16.33 m/s = 16.328 m/s ≅ 16.33 m/s

6 0
3 years ago
Other questions:
  • Walt grew 10 centimeters in 1 year.He is now 1.6 m tall.How tall was he 1 year ago
    6·2 answers
  • Plz tell me this solution​
    5·2 answers
  • Solve.<br> 3/4x=18 please show work ...?
    12·2 answers
  • Please help me with this question ( In the pic)
    8·1 answer
  • X<br> 7 cm<br> 14 cm<br> Pls help if u can
    8·1 answer
  • - 4x +35&gt; 2 What is the answer?
    11·1 answer
  • Mr levels gave 5 tests the test scores were 200,225,215,199 and 225, what is the mean median and mode of the tests that mr level
    5·1 answer
  • An office building has 123 floors. The floors are 3.8m apart.
    13·1 answer
  • What angle is complementary to 1 ? I'll mark brainliest
    7·2 answers
  • Which two of these squares have the same amount shaded? A P and Q B P and S C Q and R D R and SPRQSRELEASE
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!