What is the Calculate

Answer:

Hi, there--

THE PROBLEM:

We invested $10,000 in 2 bank accounts. One account earns 14% per year the other earns 8%

per year. How much did we invest into each account if after the first year, the combined

interest from the 2 accounts is $1238?

A SOLUTION:

Define Variables:

Let x be the amount you originally invested in the first account.

Let y be the amount you originally invested in the second account.

Write Expressions and Equations:

Since you invested a total of $10,00 in two accounts. An equation that represents this is

x + y = 10000

One account (say the first one) earns 14% per year. Recall that the decimal form of 14% is

0.14. An expression for the amount of interest you earn after the first year in this account is

0.14x.

The other account earns 8% per year. The decimal representation of 8% is 0.08. The amount

of interest you earn after one year in this account is 0.08y.

The combine interest from both account after one year is $1238. An equation representing

the total interest earned is

0.14x + 0.08y = 1238

Now we have a system of two equations with two variables. We can solve for x and y. Rewrite

the first equation in "y=" form.

x + y = 10000

y = 10000 - x

Substitute 10000-x for y in the second equation.

0.14x + 0.08y = 1238

0.14x + 0.08(10000 - x) = 1238

Solve this equation for x. Use the Distributive Property to clear parentheses.

0.14x + 800 - 0.08x = 1238

Combine like terms (0.14x-0.08x is 0.06x).

0.06x + 800 = 1238

Subtract 800 to both sides to isolate x on the left.

0.06x = 1238 - 800

0.06x = 438

Divide both sides of the equation by 0.06.

x = 438/0.06

x = 7300

In the context of this problem, x=7300 means that you invested $7300 in the first account.

Since you invested a total of $10000, you invested 10000-7300=$2700 in the second account.

Check your work by verifying that these amounts will yield the correct amount of interest.

Substitute 7300 for x and 2700 for y in the interest equation.

0.14x + 0.08y = 1238

0.14(7300) + 0.08(2700) = 1238

1022 + 216 = 1238

1238 = 1238

Check!

Hope this helps! Feel free to email if you have any questions about the

Answer:

a)The expected number of insect fragments in 1/4 of a 200-gram chocolate bar is 2.55

b)0.6004

c)19.607

Step-by-step explanation:

Let X denotes the number of fragments in 200 gm chocolate bar with expected number of fragments 10.2

X ~ Poisson(A) where [tex]\lambda = \frac{10.2}{200} = 0.051[/tex]

a)We are supposed to find the expected number of insect fragments in 1/4 of a 200-gram chocolate bar

[tex]\frac{1}{4} \times 200 = 50[/tex]

50 grams of bar contains expected fragments = \lambda x = 0.051 \times 50=2.55

So, the expected number of insect fragments in 1/4 of a 200-gram chocolate bar is 2.55

b) Now we are supposed to find the probability that you have to eat more than 10 grams of chocolate bar before ending your first fragment

Let X denotes the number of grams to be eaten before another fragment is detected.

[tex]P(X>10)= e^{-\lambda \times x}= e^{-0.051 \times 10}= e^{-0.51}=0.6004[/tex]

c)The expected number of grams to be eaten before encountering the first fragments :

[tex]E(X)=\frac{1}{\lambda}=\frac{1}{0.051}=19.607 gram[/tex]s

Answer:

6 1/6

Step-by-step explanation:

six goes into 42 seven times that leaves you with one number so it can go in six times evenly and that leaves you with 1/6

Answer:

did you ever did the answer

Step-by-step explanation:

Answer: {No Solution}

Step-by-step explanation:

Answer:

T = Time = 3 years

Step-by-step explanation:

1 = PRT;

1 = Simple Interest = 5040

P = Principal = 24,000

R = Rate = 0.07

T = Time (years) = ? Unknown variable

Making T subject of the formula

T = 1/PR

T = 5040/24,000 × 0.07

T = 5040/1680

T = 3 years

Answer: B

Step-by-step explanation:

just took the quiz

A rising unemployment rate affect a society by making it harder for citizens to find jobs.

The term unemployment refers to a situation where a person actively searches for employment but is unable to find work.

As, we know that unemployment means the shortage of jobs for the citizens.

So, rising unemployment rate in society creating trouble for the citizens to find jobs.

Learn more about unemployment here:

https://brainly.com/question/14227610

#SPJ2

Answer:C

Step-by-step explanation:

Answer:

B. 110

Step-by-step explanation:

In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda. Using matrices to solve, how many calories are in 1 serving of milk?

A. 90

B. 110

C. 130

D. 180​

Answer:

Let x represent the amount of calories in 1 servings of juice, y represent the amount of calories in 1 servings of milk and z represent the amount of calories in 1 servings of Soda.

Joe consumption can be represented by:

x + 2y + z = 530           (1)

Darius consumption can be represented by:

2x + y = 370                 (2)

Marian consumption can be represented by:

3y + z = 510                  (3)

The equations can be represented in matrix form as:

[tex]\left[\begin{array}{ccc}1&2&1\\2&1&0\\0&3&1\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}530\\370\\510\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&2&1\\2&1&0\\0&3&1\end{array}\right] ^{-1}\left[\begin{array}{c}530\\370\\510\end{array}\right] \\\\\\[/tex]

[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}0.33&0.33&-0.33\\-0.67&0.33&0.67\\2&-1&-1\end{array}\right]\left[\begin{array}{c}530\\370\\510\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}130\\110\\180\end{array}\right][/tex]

The amount of calories in one serving of milk is 110 calories

Answer:

nope

Step-by-step explanation:

Answer:

no they are not

Answer:

* 27x=9 * x=9/27 ithink so srry if you get wrong

Step-by-step explanation:

Answer:

1000-20

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

"Sliding": moving a shape without rotating or flipping it.

The shape still looks exactly the same, just in a different place.

Answer:

There are 35 girls in the recycling club

Step-by-step explanation:

4 boys : 7 girls

20 boys : x girls

In order to get to 20, you have to multiply 4 by 5, so multiply 5 to 7 for the girls.

7(5) = 35

There are 35 girls

Answer:

940,000

Step-by-step explanation:

Since there is a 6 in 936,292, that gives you the right to make the ten thousandth higher if that makes sense

Answer:

Below

Step-by-step explanation:

The reason why "lower than" would be the correct answer is because the DMV (Department of Motor Vehicles) requires that all drivers drive lower than the posted speed limit when the weather is not god.

The reason why you should travel lower than the posted speed limit is because it will keep you and others safe of the road. Bad weather can lead to things like less traction, less vision on the road, and etc.

When you drive slower than the posted speed limit during based weather, you're allowing your self more time to react if something happens, less likely to lose grip, and keeps you and others safe from any accidents.

Like they always say, you should never travel at a speed that's dangerous for the current road conditions.

Answer:

a) -16

b)7

c) -4

d) 9

Step-by-step explanation:

by solving

Answer: A.) 4 people

Step-by-step explanation:

Answer:

The first and the third one are correct.

Step-by-step explanation:

Answer: 1 & 3 are proportional relationships

Answer:

-8 < 8

Step-by-step explanation:

-8 is less than 0 so it is definitely less than 8

Hope this helped :)

Answer:

29 units..

Step-by-step explanation:

well i don't know how to insert an image of the answer...but I did it...its (c): 29 units

-4 is the x intercept.as in the values on the x-axis

Answer:

Im pretty sure it the first one

Step-by-step explanation:

Answer:

965314

Step-by-step explanation:

Please mark me brainlest and hope that help (=

Answer:

The rearrangement can be 45, 987 , 310

Step-by-step explanation:

Here, we want to rearrange the number such that 9 is worth 10 times as what it is worth presently

The value of 9 presently is 90,000

So 10 times as worth will be 10 * 90,000 = 900,000

So we can have the new arrangement as;

45, 987, 310

Answer:

the anwer is 5*6

Answer:

It would be x + 3y = -27.

Answer:

divide by 2 equals 30.5 minus 7 equals to 23,5

Step-by-step explanation:

smaller is 23,5

B is 37.5