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3 years ago

What is the solution to the following system

Mathematics

2 answers:

Travka [436]3 years ago

7 0

Answer:

C. Is you answer

Step-by-step explanation:

What you have to do is you take the second equation and plug it into the y of the first equation to get

-2x^2+-3x^2+5=-5. You will then add the -2x^2 and the -3x^2 together to get

-5x^2+5=-5. You will then minus the 5 from both sides to get

-5x^2=-10. You will then divide the -5 from both sides to get

x^2=2. You will then square root it to get

x=sqrt2 and -sqrt2.

You will then plug the sqrt2 into the second equation into the x like this

y=-3(sqrt2)^2+5. and you answer wil be -1.

So C is your answer.

Archy [21]3 years ago

3 0

C is the answer.............

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2/3x8= answer as a mixed fraction?

dimulka [17.4K]

Answer:

5 1/3

Step-by-step explanation:

2/3 x 8 = 2 x 8 / 3 = 16 / 3 = 5 1/3

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3 years ago

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Underline the prepositions in the sentences. 1. The bus shuttles between Delhi and Gurgaon. 2. The children ran across the bridg

shutvik [7]

Answer:

1. The bus shuttles between Delhi and Gurgaon.

2. The children ran across the bridge.

3. Towards evening, you can hear the frogs croak.

4. I dug the flowerbeds with a spade.

5. The mountaineer reached the peak with great difficulty.

Explanation:

Prepositions are the words that tell us or gives information about the location, place, time, or the relation of the noun or pronoun with the other words in the sentence. In short, they tell us where, when, or how something happens.

The prepositions in the given sentences are underlined as follows-

1. The bus shuttles between Delhi and Gurgaon.

2. The children ran across the bridge.

3. Towards evening, you can hear the frogs croak.

4. I dug the flowerbeds with a spade.

5. The mountaineer reached the peak with great difficulty.

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3 years ago

Write the volume of a cube 25 cm on a side using an exponent. Then, find the volume.

kirill115 [55]

V = 25^3

Since a cube has equal lengths on each side, you multiply the 25 by itself three times to get:

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3 years ago

Assignment: Compound Interest Investigation

sukhopar [10]

To help Tyler better understand how his money will increase in an account that uses simple interest and one that uses compound interest, we are going to use two formulas: a simple interest formula for the accounts that use simple interest, and a compound interest formula for the accounts that use compound interest.
- Simple interest formula: $A=P(1+rt)$
where:
$A$ is the final investment value
$P$ is the initial investment
$r$ is the interest rate in decimal form
$t$ is number of years
- Compound interest formula: $A=P(1+ \frac{r}{n} )^{nt}$
where:
$A$ is the final investment value
$P$ is the initial investment
$r$ is the interest rate in decimal form
$t$ is he number of years
$n$ is the number of times the interest is compounded per year

1.
a. This is a compound interest account, so we are going to use our compound interest formula. We now that $P=1500$ , $t=5$ , and since the interest is compounded annually (1 time a year), $n=1$ . To find the interest rate in decimal form, we are going to divide it by 100%: $r= \frac{4}{100} =0.04$ . Now that we have all the values lets replace them in our compound interest formula:
$A=1500(1+ \frac{0.04}{1}) ^{(1)(5)}$
$A=1824.98$
We can conclude that after 5 years he will have $1824.98 in this account.
b. Here we will use our simple interest formula. We know that $P=1500$ , $t=5$ , and $r= \frac{4}{100} =0.04$ . Lets replace those values in our simple interest formula:
$A=1500(1+(0.04)(5))$
$A=1800$
We can conclude that after 5 years he will have $1800 in this account.
c. The compound interest account from point a will yield more money than the simple account one from point b. The difference between the tow amounts is $1824.98-1800=24.98$

2.
a. Here we are going to use our compound interest formula. We know that $P=2000$ , $t=1$ and $r= \frac{8}{100} =0.08$ . We also know that the interest is compounded Quaternary (4 times per year), so $n=4$ . Now that we have all our values lets replace them into our formula:
$A=2000(1+ \frac{0.08}{4} )^{(4)(1)}$
$A=2164.86$
We can conclude that after 1 year he will have $2164.86 in this account.
b. Here we are going to use our simple interest formula. We know that $P=2000$ , $t=1$ , and $r= \frac{8}{100} =0.08$ . Once again, lets replace those values in our formula:
$A=2000(1+(0.08)(1))$
$A=2160$
We can conclude that after 1 year he will have $2160 in this account.
c. The compound interest account from point a will yield more money than the simple account one from point b. The difference between the tow amounts is $2164.86-2160=4.86$

3.
a. Since Bank A offers an account with a simple interest, we are going to use our simple interest formula. From the question we know that $P=3200$ , $t=3$ , and $r= \frac{3.5}{100} =0.035$ . Now we can replace those values into our formula to get:
$A=3200(1+(0.035)(3))$
$A=3536$
Now, to find the interest earned for Bank A we are going to subtract $P$ from $A$
$InterestEarned=3536-3200=336$
We can conclude that the interest earned for Bank A is $336
b. Since Bank B offers an account with a compound interest, we are going to use our compound interest formula. We know that $P=3200$ , $t=3$ , $r= \frac{3.4}{100} =0.034$ , and since the interest is compounded annually (1 time a year), $n=1$ . Now that we have all the values, lets replace them in our formula to get:
$A=3200(1+ \frac{0.034}{1} )^{(1)(3)}$
$A=3537.62$
Now, to find the interest earned for Bank A we are going to subtract $P$ from $A$ :
$InterestEarned=3537.62-3200=337.62$
We can conclude that the interest earned for Bank B is $337.62
c. Even tough the interest returns between the tow Banks are very similar, Bank B offers a slightly better interest over a period of time, which can make a big difference in the long run. If Tyler wants the earn more money, he definitively should deposit his money in Bank B.
d. The compound interest account from Bank B will yield more money than the simple account one from Bank A The difference between the tow amounts is $3537.62-3536=1.62$

6 0

4 years ago

Am i right 5TH GRADE MATH THANKS!

Genrish500 [490]

Answer:

Step-by-step explanation:

the answer is 7.9

6 0

4 years ago

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