MATHEMATICS HIGH SCHOOL

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. David invested $220 in a savings account that offers a 3% return on the investment. The value of David's investment will be at least $400 after a period of years. Hint: Use the formula A = P(1 + r)t, where A is the amount after t years, P is the amount invested, r is the rate of interest, and t is the time period. Use a calculator to compute the answer, and round it off to the nearest year.

Answers

Answer 1
Answer:

Answer:

The answer is 23 years.

Step-by-step explanation:

We will use the formula :

A=P(1+r)^(t)

Here P = 220

r = 3%

A = 400

Putting these values in the formula we get,

400=200(1+0.03)^(t)

2=1.03^(t)

Taking log on both sides,

ln(1.03)t=ln 2

t=(ln(2))/(ln(1.03))

t=23.44 or rounding to nearest, t=23 years

The graph of the function can be shown as below.

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E^1n(2x+3)=
a. 21n(2x)
b. 1n(2x+3)
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d. 1n(2x)+1n(3)
help:(

Answers

2x+3 is the answer or e×2nx+e×3n

Consider the graphs of f(x) and g(x). If g(x) = f(x)+k, find the value of k.

edit: added image

Answers

Answer:

The value of k is -7

Step-by-step explanation:

We are given the graph of f(x) and g(x). If g(x)=f(x)+k

If we shift f(x) k unit vertical get g(x).

If k>0 then shift up

If k<0 then shift down.

f(x) and g(x) are both parabola curve.

First we find the vertex of f(x) and g(x)

Vertex of f(x) = (3,1)

Vertex of g(x) = (3,-6)

We can see change in y co-ordinate only.

f(x) shift 7 unit down to get g(x)

g(x)=f(x)-7

Therefore, The value of k is -7
movement up k units means add k to whole function
moved from 1 to -6
movement up -7 units

k=-7

Question 6 of 10Which of the following are solutions to the equation below?
Check all that apply
2x2 + 6x = 20
A. -5
B. 20
C. -2
D. 1
E. 2
F -10

Answers

Answer:

-5 and 2

Step-by-step explanation:
b , e , a are the correct answers

THE THREE SIDES OF A TRIANGULAR LOTARE MEASURED TO BE APPROXIMATELY 100.52
FT, 15.321 FT AND 143.250 FT LONG. FIND THE
APPROXIMATE PERIMETER OF THE LOT​

Answers

Answer:

259.09 feet

Step-by-step explanation:

Given that,

The three sides of a triangular lot are measured to be 100.52 ft, 15.321 ft and 143.250 ft.

We need to find the perimeter of the lot.

We know that,

Perimeter = sum of all sides

P = 100.52 + 15.321 + 143.250

P = 259.09 feet

So, the required perimeter of the lot is 259.09 feet.

HELPPPPP PLEASEEEEEEEEEE PLS

Answers

Answer:

A) 2 with 9 as an exponent

Step-by-step explanation:
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