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3 years ago

Please help me. I really appreciate it if you answered. Thank you! <3

Mathematics

1 answer:

exis [7]3 years ago

6 0

Answer:

$3100 is invested at 9%

$4900 is invested at 11%

Step-by-step explanation:

Let's take "x" be the amount invested at 9%.

(x + 1800) is invested in another account at 11%.

The interest amount earned by the two accounts is $818.

Here we can use the simple interest formula and find the amount invested in each account.

Simple interest (I) = , where P- is the principal , N is the number of years and R is the interest rate.

Simple interest =

0.09x + 0.11(x+1800) = 818

Now we have to simplify and find the value of x .

Use the distributive property and simplify the second term.

0.09x + 0.11x + 198 = 818

0.2x + 198 = 818

0.2x =818 - 198

0.2x = 620

x = 620/0.2

x = 3100.

So $3100 is invested at 9%

x + 1800 = 3100 + 1800

= $4900

$4900 is invested at 11%

Hope this helped.

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I hope someone can help me here please don't answer nonsense!

Wittaler [7]

Answer:

282°

Step-by-step explanation:

The measure of long arc KLM can be found by first determining the measure of short arc KM. That arc can be found using the inscribed angle theorem.

<h3>value of x</h3>

The inscribed angle theorem tells you the measure of arc KM is twice the measure of the inscribed angle KLM that subtends it. This relation can be used to find the value of x, hence the measure of the arc.

2∠KLM = arc KM

2(5x -1) = 8x +14

10x -2 = 8x +14 . . . . . . eliminate parentheses

2x = 16 . . . . . . . . . . add 2-8x

x = 8 . . . . . . . . . divide by 2

<h3>measure of arc KM</h3>

The expression for the measure of arc KM can be evaluated.

arc KM = 8x +14 = 8(8) +14 = 78°

<h3>measure of arc KLM</h3>

The total of arcs of a circle is 360°, so the measure of long arc KLM will bring the total with arc KM to 360°:

arc KM +arc KLM = 360°

arc KLM = 360° -arc KM

arc KLM = 360° -78° = 282°

The measure are long arc KLM is 282°.

7 0

2 years ago

Kiara's birthday celebration started at 2:00 pm. She spent 46 minutes at the trampoline park, Eating cake and opening presents t

Phantasy [73]

Answer:

Im not 100% sure but I got 1.66667 so therefore I would say about 4:00 maybe? Didn't really understand lmk.

Step-by-step explanation: I added 46, 29, and 25 together which gave me 100 and i put that into minutes which gave me 1.66667 which rounds to 1.70 and so if 60 seconds is 1 hour than 2:00 plus 2 hours is 4. That's what I got out of it.

5 0

2 years ago

10. In a survey of 212 people at the local track and field championship, 72% favored the home team

igomit [66]

Answer:

a. The margin of error for the survey is of 0.0308 = 3.08%.

b. The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.