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Veronika [31]
3 years ago
9

Jamal needs to contribute $4,050 towards his first year of college. If he has 1 year to save and $1,000 in his savings account a

lready, how much money does he need to save each month to his expenses covered?
Mathematics
1 answer:
Genrish500 [490]3 years ago
4 0

Answer:

Jamal needs to save $254.17 each month to cover his expenses.

Step-by-step explanation:

We know that there are 12 months in a year, and Jamal already has $1,000 towards college. Jamal still needs to save $3,050 more dollars because: 4,050 - 1,000 = 3,050. Next, we take how much he has yet to pay ($3,050) divided by how many months in 1 year (12), and that gives us 254.17 per month.

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Angle RST is a right angle. Angle RSU has a measure of 25°.
Angelina_Jolie [31]

Keywords

complementary angles, right angle

we know that

If two angles are <u>complementary angles</u>, then their sum is equal to a <u>right angle</u>

In this problem

Angle\ RSU+Angle\ TSU=90\° -------> by <u>complementary angles</u>

we have

Angle\ RSU=25\°

Substitute and solve for Angle TSU

Angle\ TSU=90\°-25\°=65\°

therefore

the answer is the option

65\°

5 0
3 years ago
Read 2 more answers
A type of plant is introduced into an ecosystem and quickly begins to take over. A scientist counts the number of plants after m
Artyom0805 [142]

With no limiting factors to the growth of the plants, the number of  months have passed since the plants were first introduced is 23.1.

<h3>What is an exponential function?</h3>

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

A type of plant is introduced into an ecosystem and quickly begins to take over.

A scientist counts the number of plants after m months and develops the equation to model the situation, which is given as,

p(m)=19.3(1089)^m

Most recently, the scientist counted 138 plants.

138=19.3(1089)^m\\(1089)^m=7.15

Taking log both sides of the equation,

\log(1.089)^m=\log7.15\\m\log(1.089)=\log(7.15)\\m=\dfrac{\log7.15}{\log(1.089)}\\m\approx23.1

Thus, with no limiting factors to the growth of the plants, the number of  months have passed since the plants were first introduced is 23.1.

Learn more about the exponential function here;

brainly.com/question/15602982

5 0
2 years ago
A box has 11 marbles, 3 of which are white and 8 of which are red. A sample of 4 marbles are selected randomly from the box with
aliina [53]

14/99

Select 1 marble; the chance that it is white is 4/12. Select a 2nd marble; the chance that it is white is 3/11. Select a 3rd; the chance it is white is 2/10. Select a 4th; the chance it is red is 8/9. Select a 5th; the chance it is red is 7/8. The chance of getting this specific set of 5 marbles in this order is (4/12)×(3/11)×(2/10)×(8/9)×(7/8)=(2×7)/(11×10×9).

This specific set could occur in the permutation of 5 things taken 5 at a time where 3 are identical (white), and the other 2 are also identical (red). The formula for this is 5!/(3!2!)=10.

Combining the chance of getting white, white, white, red, red with the number of ways 3 white and 2 red could have been distributed in the draw of 5 marbles gives the answer:

{(2×7)/(11×10×9)}×10=14/99

A similar process will show that the chance of getting 5 red marbles is 7/99; 4 white and 1 red is 1/99; 2 white and 3 red is 42/99; and 1 white and 4 red is 35/99.

6 0
2 years ago
Please Need Help. Thank You :)<br><br><br>Please find the Volume of these cylinders:
vladimir2022 [97]

Answer:

the one for the finding the height is 3.3, the one with 7 as the height is 351.86, and the one with 3 as the height is 150.8

Step-by-step explanation:

h=V

πr2=41.5

π·22≈3.30247

V=πr2h=π·42·7≈351.85838

V=πr2h=π·42·3≈150.79645

4 0
3 years ago
Suppose that G(X) = F(x+ 9). Which statement best compares the graph of
coldgirl [10]

Answer: Option D

Step-by-step explanation:

By definition if we have a function F (x) and perform a transformation of the form

G (x) = F (x + c)

Then it is true that:

If c is negative the graph of G(x) will be equal to the graph of F(x) displaced horizontally c units to the right

If c is positive, the graph of G(x) will be equal to the graph of F(x) displaced horizontally c units to the left.

Note that in this case the transformation is:

G (x) = F (x + 9)

Then c = 9 and c> 0

Therefore the graph of G(x) will be equal to the graph of F(x) displaced horizontally <em>9 units to the left</em>

The answer is the option D.

5 0
3 years ago
Read 2 more answers
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