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VikaD [51]
3 years ago
12

A bank loaned out 16,000 ​$​, part of it at the rate of 6% per year and the rest at 14% per year. If the interest received in on

e year totaled 1500​$​, how much was loaned at 6%
Mathematics
1 answer:
MakcuM [25]3 years ago
6 0

Answer:

This question requires a comparison between two different variables 6% and 16% values.  If we let x=$ loaned on 6% loans and y=$ loaned on 16% loans, then we can relate two equations.

0.06x + 0.16y = $1500  --> referencing the interest earned from each percentage loaned.

x + y = $16000  --> referencing the total amount of money loaned out.

Rearrange either equation and substitute for a value in the other equation or use elimination to determine each individual variable.

Step-by-step explanation:

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MrRissso [65]

Answer: B is what 6 x +4 = to 4bx - 2 is 6x plus 4 = to 24 then 4bx - 2 is  YA so b is Y

5 0
4 years ago
What is the conversion?
Gelneren [198K]

Answer:

  see below

Step-by-step explanation:

The conversion factor in the box is the product ...

  \dfrac{1\,\text{kPa}}{1000\,\text{Pa}}\cdot\left(\dfrac{1\,\text{m}}{100\,\text{cm}}\right)^3=10^{-9}\,\dfrac{\text{kPa m}^3}{\text{Pa cm}^3}

_____

The purpose of a conversion factor is to multiply by 1 in the form of a ratio that changes the units. We know that 1000 Pa = 1 kPa, so the ratio (1 kPa)/(1000 Pa) is the ratio of two equal quantities. It has the value 1 and will change units from Pa to kPa.

Likewise, 100 cm = 1 m, so (1 m)/(100 cm) will change the units from cm to m. However the given expression uses cm³, so we need to multiply by the conversion factor 3 times. That factor is ((1 m)/(100 cm))³ = (1 m³)/(10⁶ cm³).

To choose the appropriate conversion factor, look at the units you have (Pa, cm) and the units you want (kPa, m). Find the relationship these have to each other, and write the ratio so that it will cancel the units you have and leave the units you want.

When SI units are involved the prefixes help you out. k = kilo = 1000; c = centi = 1/100. It is worthwhile to get to know them.

8 0
3 years ago
You usually buy a 16.5-ounce bottle of shampoo. There is a new bottle that says it gives you 30% more free.
Katarina [22]

Answer:

\frac{x-16.5}{16.5}=0.30

Hopefully, this is your desired setup. (I noticed the formula you have to fill in there.)

Have a good day.

Step-by-step explanation:

Hi.

You could use the percent change formula.

Since we know it is a percent increase then we will do new-old instead of old-new:

\frac{\text{new}-\text{old}}{\old}

x is the new amount of shampoo.

16.5 is the original amount (old) of shampoo.

The percent increase is 30%=0.30 .

So we have the following equation:

\frac{x-16.5}{16.5}=0.30

We could have found the equation like this:

16.5+16.5(0.30)=x

Subtract 16.5 on both sides:

16.5(0.30)=x-16.5

Divide both sides by 16.5:

0.30=\frac{x-16.5}{16.5}

By us of symmetric property of equality:

\frac{x-16.5}{16.5}=0.30

5 0
3 years ago
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Answer:

He ruled about 40 years

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(5, -20)and<br> (3, n) .<br> Find<br> n .
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Step-by-step explanation: To solve this proportion for n, we can use cross products.

Image provided.

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