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3 years ago

Rewrite the expression by using grouping symbols. y • 4 + y • z

Mathematics

1 answer:

Ber [7]3 years ago

5 0

$y\cdot4+y\cdot z=y\cdot(4+z)\ \ \ \Rightarrow\ \ \ Ans.\ D$

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Sung Lee invests $5,000 at age 18. He hopes the investment will be worth $20,000 when he turns 25. If the interest compounds con

Temka [501]

Answer:

19.8%

Step-by-step explanation:

We have the following formula for continuous compound interest:

A = P * e ^ (i * t)

Where:

A is the final value

P is the initial investment

i is the interest rate in decimal

t is time.

The time can be calculated as follows:

25 - 18 = 7

That is, the time corresponds to 7 years. In addition, A is 20,000 for A and P would be 5,000, we replace:

20000 = 5000 * e ^ (7 * i)

20000/5000 = e ^ (7 * i)

e ^ (7 * i) = 4

ln e ^ (7 * i) = ln 4

7 * i = ln 4

i = (ln 4) / 7

i = 0.198

Which means that the rounded percentage will be 19.8% per year

3 0

3 years ago

Can someone help me please

dmitriy555 [2]

Answer:

Step-by-step explanation:

The rule with like bases is that when you multiply them you add their exponents.

$m^4*m^1=m^5$

Therefore, our final simplification is

$4m^5n^7$

7 0

3 years ago

Read 2 more answers

If the acute angles in a right triangle are in the ratio of 5:4 find the measure of the smallest angle

deff fn [24]

Let's create this right triangle. We will call it triangle ABC with angle B as the right angle, angle A being the larger of the angles A and C. If the ratio is 5:4, then it is A:C. 5+4 = 9. The measure of the right angle, angle ABC = 90, and 90 divided by 9 is 10. So angle A is 5 * 10 which is 50 degrees, and angle C is 4 * 10 which is 40 degrees. The smallest angle, angle C, is 40 degrees.

6 0

3 years ago

Add 7min and 25s and 27min and 46s<br><br> PLS HELP

ololo11 [35]

Answer:

35 min. and 11 sec.

Step-by-step explanation:

27 min + 7 min = 34 min

46 sec + 25 sec = 71

60 seconds in a 1 minutes so:

71 - 60 = 11

add 1 minute to 34 =34

4 0

3 years ago

Read 2 more answers

Find the volume of a right circular cone that has a height of 17.5 ft and a base with a diameter of 6.1 ft. Round your answer to

julia-pushkina [17]

Answer:
volume of cone = 170.5 ft³

Explanation:
The volume of the right circular cone can be calculated as follows:
volume = $\frac{1}{3} * \pi *r^2 *h$

We are given that:
diameter = 6.1 ft.......> This means that: radius (r) = 6.1 / 2 = 3.05 ft
height (h) = 17.5 ft

Substitute with the givens in the above equation to get the volume as follows:
volume = $\frac{1}{3} * \pi *(3.05)^2*17.5$

volume = 170.477 which is approximately 170.5 ft³

Hope this helps :)

6 0

3 years ago