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Otrada [13]
3 years ago
14

The combined yearly interest for x dollars invested at 13% and 20,000-x dollars invested at 8% is

Mathematics
1 answer:
Marina CMI [18]3 years ago
5 0

Answer:

  total = 1600 +0.05x

Step-by-step explanation:

I = Prt

You want the sum of the interest from the two investments. The interest at 13% is ...

  I = Prt = x(0.13)(1) = 0.13x

The interest at 8% is ...

  I = Prt = (20000-x)(0.08) = 1600 -0.08x

Then the total interest earned is ...

  total = 0.13x + (1600 -0.08x)

  total = 1600 +0.05x

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A box contains 3 plain pencils and 7 pens . A second box contains 4 colored pencils and 4 crayons . One item from each box is ch
strojnjashka [21]

Answer:

its 6 bc 7+3=10 4*4=16 16-10=6

6 0
3 years ago
Suppose h(t) = -4t^2+ 11t + 3 is the height of a diver above the water in
nadezda [96]

Answer:

11/4 seconds

Step-by-step explanation:

We can see from the given equation that the height at the diving board is h = 3.

This is because the h(t) equation has that +3 at the end, which denotes the initial height of the diver, the height when he is standing on the board before jumping.

To find where h(t) = 3 is true, we need to set h(t) equal to 3 and solve for t.

h(t) = 3

h(t) = -4t^2 + 11t + 3 = 3

-4t^2 + 11t + 3 - 3 = 0

-4t^2 + 11t = 0

t*(-4t + 11) = 0

so h(t) = 3 when t = 0 and when t = 11/4 sec

we already know that at t = 0 the height is 3, it is the initial height given from the equation, so we want to use the other solution for t.

the diver is back at the height of the diving board at t = 11/4 sec

6 0
2 years ago
Read 2 more answers
When n=343 college students are randomly selected and surveyed, it is found that x=110 own a car. Find a 99% confidence interval
Liono4ka [1.6K]

Answer:

The margin of error will be "0.65". A further explanation is provided below.

Step-by-step explanation:

The given values are:

n = 343

x = 110

At 99% confidence level,

\alpha = 1-99%

  =1-0.99

  =0.01

then,

\frac{\alpha}{2} =\frac{0.01}{2}

  =0.005

or,

Z_{\frac{\alpha}{2} }=Z_{0.005}

     =2.576

Now,

The point estimate will be:

⇒  \hat{P}=\frac{x}{n}

⇒      =\frac{110}{343}

⇒      =0.321

or,

⇒  1-\hat{P}=1-0.321

⇒            =0.679

The margin of error will be:

⇒  E=Z_{\frac{\alpha}{2} }\times \sqrt (\frac{(\hat{P}\times (1 - \hat{P})) }{n} )

On substituting the above values, we get

⇒      =2.576\times \sqrt{\frac{0.321\times 0.679}{343} }

⇒      =2.576\times \sqrt{\frac{0.217959}{343} }

⇒      =0.065

hence,

⇒  \hat{P}-E

⇒  0.321-0.065

⇒  0.256,0.386

6 0
3 years ago
Use the graph method to solve the system of the linear equations:
Sophie [7]

Answer:

C

Step-by-step explanation:

I hope it's right

Sorry if it's wrong

6 0
3 years ago
Read 2 more answers
What is the anwser to -20x > -400
Stells [14]
-20x > -400 \ |:(-20) \\\\ x < 20 \\\\ \boxed{x=(-\infty;20)}
3 0
3 years ago
Read 2 more answers
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