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Fittoniya [83]
3 years ago
15

What is 15=-3y+21x in slope intercept form?

Mathematics
1 answer:
sweet [91]3 years ago
7 0
Slope intercept form = Y = Mx + B

15 = -3y + 21x

3y = 21x - 15

Y = 21/3 X - 15/3

Y = 7x - 5 = SI Form
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A man invests his savings in two accounts, one paying 6% and the other paying 10% simple interest per year. He puts twice as muc
Masteriza [31]

Let x represent amount invested in the higher-yielding account.

We have been given that a man puts twice as much in the lower-yielding account because it is less risky. So amount invested in the lower-yielding account would be 2x.

We are also told that his annual interest is $6600 dollars. We know that annual interest for one year will be principal amount times interest rate.

I=Prt, where,

I = Amount of interest,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

We are told that interest rates are 6% and 10%.

6\%=\frac{6}{100}=0.06

10\%=\frac{10}{100}=0.10

Amount of interest earned from lower-yielding account: 2x(0.06)=0.12x.

Amount of interest earned from higher-yielding account: x(0.10)=0.10x.

0.12x+0.10x=6600

Let us solve for x.

0.22x=6600

\frac{0.22x}{0.22}=\frac{6600}{0.22}

x=30,000

Therefore, the man invested $30,000 at 10%.

Amount invested in the lower-yielding account would be 2x\Rightarrow 2(30,000)=60,000.

Therefore, the man invested $60,000 at 6%.

8 0
3 years ago
Is the function given by, f(x)={3x-2 if x≤3 , 10-x if x>3} continuous at x = 3?
Darya [45]
<h2>Answer:</h2>

yes

<h3>Step-by-step explanation:</h3>

This is a piecewise-defined function because it is defined by two or more equations over a specified domain is. The graph of this function is shown below. So this functions is continuous because its graph is a single unbroken curve. So the function is defined be the line 3x - 2 when x = 3 and the output here is y = 7

6 0
3 years ago
Read 2 more answers
Larios filled her a 5 gallon jug with water. How many times can she fill her to 2- quart canteen with water from the jug?
marusya05 [52]

Answer:

10 times

Step-by-step explanation:

5 gallons = 20 quarts

20 quarts / 2 quarts = 10

4 0
3 years ago
Choose all the numbers that are part of Integers.
Aleksandr [31]

Answer:

  all except 5/6

Step-by-step explanation:

All of the numbers listed are in the set of integers, except for the fraction 5/6. It is a rational number, but not an integer.

___

If by "part of integers" you mean that the number can be multiplied by some integer value to make an integer, then 5/6 is "part of 5". It is 1/6 of the integer 5.

3 0
3 years ago
Which statement lists contractionary policies? Question 73 options: a) The Fed purchases bonds, lowers the discount rate, and lo
Ne4ueva [31]

Answer:

The correct answer is letter B.

Step-by-step explanation:

Contractionary monetary policies are instruments used by the FED to decrease the amount of money in an economy. There are three classic instruments of monetary policy: open market, rediscount policy and compulsory deposit. The open market is about buying and selling federal government bonds. Thus, by selling bonds, the bank will be increasing the supply of bonds in the economy, on the other hand, is withdrawing dollars, that is, will be withdrawing currency from the economy, resulting in a contractionary monetary policy. Rediscount refers to the interest rate on loans that the FED lends to financial institutions. In situations of illiquidity, banks turn to the FED for loans. In this case, the FED, by increasing the rediscount rate, hindering the supply of money to the institutions and thus exerting a contractionary monetary policy. Finally, bank reserves refer to the part of banks' monetary reserves that are required to be deposited with the FED. Thus, by increasing the percentage of such reserves, the FED is exerting a contractionary fiscal policy, as it decreases the total amount of commercial banks' borrowing resources.

7 0
3 years ago
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