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sukhopar [10]
3 years ago
5

$8,000 is invested in two different accounts earning 3% and 4% interest. If the two accounts earn a total of $295 in interest ho

w much money was invested at 3%?
a.) $2,500
b.) $3,500
c.) $5,500
Mathematics
1 answer:
Allisa [31]3 years ago
4 0
You can take 8,000 and times it by 0.03. your answer is 2,500
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Find the gradient of the line segment between the points (-5,2) and (4,3) give your answer in the simplest form
Leokris [45]

Answer: The gradient of the line segment between the points (-5,2) and (4,3) is \dfrac{1}{9}.

Step-by-step explanation:

Formula for gradient of a line segment :

\text{Gradient}=\dfrac{\text{Difference between y-coordinates}}{\text{Difference between x-coordinates}}

Given points of the line segment: (-5,2) and (4,3)

\text{Gradient} =\dfrac{3-2}{4-(-5)}

\text{Gradient} =\dfrac{1}{4+5)}

\text{Gradient} =\dfrac{1}{9}

Therefore , the gradient of the line segment between the points (-5,2) and (4,3) is \dfrac{1}{9}.

7 0
3 years ago
Mr. Moore drove the first half of his journey at an average speed of 96 km/h for 2 hours. He then drove the remaining half of hi
kupik [55]

<em>Answer:</em>

<em>2h 15m</em>

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

<em>If he drove 96 kilometers per hour for the first two hours, then he traveled 192 kilometers in two hours, meaning that the full trip is 384 kilometers.</em>

<em>192/80 = 2.4</em>

<em>Mr. Moore took 2 hours and 15 minutes to finish his trip.</em>

<em>Hope this helps. Have a great day.</em>

7 0
3 years ago
gia has 80 tiles. each tile is white and blue. she arranges the tile in 8 equal rows. each row has an equal number of white and
aleksklad [387]

Answer:

5 blue tiles

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
You are getting a line-up ready for a school kickball game. You have 7 girls and 7 boys. The rules state each child must kick th
Effectus [21]

Answer:

50,803,200 ways

Step-by-step explanation:

In this situation, since you should alternate girl-boy or boy-girl, the line-up can either start with a boy or a girl kicking which would yield one of the two following patterns:

BGBGBGBGBGBGBG or GBGBGBGBGBGBGB.

For each of those patterns, there are 7! ways to arrange all boys and 7! ways to arrange all girls. The number of ways that a line-up can be made for one round of kicking is:

n=2*7!*7!\\n=2*(7*6*5*4*3*2)^2\\n=50,803,200\ ways

There are 50,803,200 ways to set the line-up.

8 0
4 years ago
Brain enjoys hang gliding on his last flight, he jumped off a cliff 520 high he landed 450 from the base of the cliff how far di
belka [17]

Answer:

Brain travelled 687.68 from the cliff.

Step-by-step explanation:

Given that:

Height of the cliff = 520

Base of the cliff = 450

The distance will form the hypotenuse of right angled triangle.

Pythagorean theorem states square of hypotenuse of right angled triangle is equal to the sum of squares of base and height of triangle.

Using pythagorean theorem;

a = 520, b=450, c = hypotenuse

a^2+b^2=c^2\\(520)^2+(450)^2=c^2\\270400+202500=c^2\\472900=c^2\\c^2=472900

Taking square root on both sides

\sqrt{c^2}=\sqrt{472900}\\c=687.68

Hence,

Brain travelled 687.68 from the cliff.

6 0
3 years ago
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