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2 years ago

❗️❗️❗️❗️❗️PLEASE HELP SIMPLE INTEREST!! Lesson 6.7 ❗️❗️❗️❗️

Mathematics

1 answer:

Flura [38]2 years ago

4 0

1200 * 0.05 * 4 = 240$ the amount of interest after 4 years.

total 1200+240=1440$

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Sammy Sales had the following receipts for his tree trimming business for the first six months of the year. What is the average

fredd [130]

$average = \frac{sum \: \: of \: \:all \: \: obeservations}{no. \: \: of \: observaions}$

$= \frac{1205 + 1450 + 1530 + 1655 + 1610 + 1710}{6}$

$= \frac{9160}{6}$

$= 1526.66$

___________________________________________

1526.66 is the average of his sales for this period.

6 0

2 years ago

This question is from the similarity chapter. It would be really kind of you if you would answer this question.

katen-ka-za [31]

Answer:

a) 1650 m

b) 1677.05 m

Step-by-step explanation:

Hi there!

1) Determine what is required for the answers

For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.

For part B, we're asked to solve for the length of the road, or the length of AB.

2) Prove similarity

In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).

How do we know they're similar?

Angles AYX and ACB are corresponding and they both measure 90 degrees
Both triangles share angle A

Therefore, the two triangles are similar because of AA~ (angle-angle similarity).

3) Solve for part A

Recall that we need to find the length of AC.

First, set up a proportion. XY corresponds to BC and AY corresponds to AC:

$\frac{XY}{BC}=\frac{AY}{AC}$

Plug in known values

$\frac{2}{300}=\frac{11}{AC}$

Cross-multiply

$2AC=11*300\\2AC=3300\\AC=1650$

Therefore, the road will rise 300 m over a horizontal distance of 1650 m.

4) Solve for part B

To find the length of AB, we can use the Pythagorean theorem:

$a^2+b^2=c^2$ where c is the hypotenuse of a right triangle and a and b are the other sides

Plug in 300 and 1650 as the legs (we are solving for the longest side)

$300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c$

Therefore, the length of the road is approximately 1677.05 m.

I hope this helps!

3 0

2 years ago

Convert the units of length. 7.5 cm = __ m

Vikki [24]

Answer:

If "m" stands for meters, then thats not possible.

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Find the probability of having 2,3, or 4 successes in five trials of a binomial experiment in which the probability of success i

Georgia [21]

Answer:

65.3%

Step-by-step explanation:

Binomial distribution PMF below (along with a description)

the probabilty of getting 2, 3, or 4 successes in 5 trials is just

p(2)+p(3)+p(4)

p(2)= 5C2*.4²*(1-.4)³ = .3456

p(3)= 5C3*.4³*(1-.4)²= .2304

p(4)= 5C4*.4⁴*(1-.4)=.0768

.3456+.2304+.0768= .6528

6 0

1 year ago

Whichwhich would you measure using inches? A. length of a pen B. height of a flagpole C. length of a cross-country race course D

Taya2010 [7]

Answer:

The length of a pen.

Step-by-step explanation:

A length of a pen is around three inches and is reasonable but all of the others are way too big and can be measured in feet or miles.

3 0

2 years ago