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lesya [120]
2 years ago
9

Nico is saving money for his college education. He invests some money at 9​%, and ​$1700 less than that amount at 8% The investm

ents produced a total of ​$306 interest in 1 yr. How much did he invest at each​ rate?
Mathematics
1 answer:
Mashutka [201]2 years ago
5 0

Answer:

$2600 at 9%  and $900 at 8%

Step-by-step explanation:

Convert world problem to algebra:

(x*1.09)+((x-1700)*1.08) = (2x-1700)+306

Solve problem:

1.08 (x - 1700) + 1.09 x = 2 x - 1394

x=2600

first value is x (2600) and second value is 1700 less than x so its x-1700 (2600-1700=900)

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A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function h(t) = 52t - 16t^2 . What i
ahrayia [7]

Answer:

42.25 feet

Step-by-step explanation:

The height function is a parabola.  The maximum value of a negative parabola is at the vertex, which can be found with:

x = -b/2a

where a and b are the coefficients in y = ax² + bx + c.

Here, we have y = -16t² + 52t.  So a = -16 and b = 52.  The vertex is at:

t = -52 / (2×-16)

t = 13/8

Evaluating the function:

h(13/8) = -16(13/8)² + 52(13/8)

h(13/8) = -169/4 + 169/2

h(13/8) = 169/4

h(13/8) = 42.25

7 0
2 years ago
Read 2 more answers
on the road in a certain city, the maximum speed is 60nmiles per hour and the minimum speed is 20 miles per hour. if x represent
USPshnik [31]
20 greater than or equal to X less than or equal to 60
20 _
4 0
3 years ago
PLEASE HELP 50 POINTS
natima [27]

Answer:

C. 1/3<b<3/2

D. 1/6<x<2

Step-by-step explanation:

Hope this helps

3 0
2 years ago
Read 2 more answers
The part (aka "is") = 8 and the percent is 42, what is the whole (aka
marysya [2.9K]

Answer:

33

Step-by-step explanation:

If you simplify what the question is saying, it's basically..

8 is 24% of <u>what number?</u>

To find out, you can simply set up an equation.

((24% = 0.24 as a decimal (move the decimal point two times to the left))

8 = 0.24 x N (N is just the 'whole')

To solve, you just need to divide 8 ÷ 0.24. So, N = 33.333 repeating.

The question says to round to the nearest whole number, so the answer would just be 33.

8 0
2 years ago
Please Help!!! I've been stuck on this question for the longest and none of the answer choices are the answer I keep on getting.
Vera_Pavlovna [14]

I think the answer might be <em>B 30.4 ft</em> if it not it might be <em>C 161 ft</em>

pls correct me if i'm wrong sorry if the answers is wrong

5 0
3 years ago
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