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pychu [463]
3 years ago
8

roberta deposited 4,790.23 into a saving account with an interest rate of 3.8% compunded twice a year. about how long will it ta

kefor the account to be worth 9,000?
Mathematics
2 answers:
Margarita [4]3 years ago
7 0
The answer to this question would be: 17 years
The <span>interest rate is 3.8% compounded twice a year. The function of the saving account amount would be:
f(x)= </span><span>4,790.23* (1+ 0.038/2)^2x
</span>f(x)= 4,790.23* (1.019)^2x

Then for f(x)= 9,000 the x value would be:
9,000= 4,790.23* (1.019)^2x
9,000/4,790.23= (1.019)^2x
1.8788= (1.019)^2x
<span>2x=34
</span>x=17
Julli [10]3 years ago
3 0
4009 is the answer I got
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We need a flower garden with a perimeter of 18 feet and an area of 18 square feet.what is the Length and width
tia_tia [17]

Answer:

length is 6feet and width is 3 feet

Step-by-step explanation:

Area of the garden = LW

Perimeter of the garden = 2(L+W)

L is the length

W is the width

Given

Area = 18 square feet

Perimeter = 18feet

Substitute

18 = LW ... 1

18 = 2(L+W)

9 = L+W .... 2

From 2;

L = 9-W

Substitute into 1

18 = (9-W)W

18 = 9W-W²

W²-9W+18 = 0

W²-6W-3W+18 = 0

W(W-6)-3(W-6) = 0

W-3 = 0

W = 3 feet

Since L = 9-W

L = 9-3

L = 6feet

Hence the length is 6feet and width is 3 feet

8 0
3 years ago
Read 2 more answers
Hello everyone !! I have a couple math questions need answered asap !!!
Sedbober [7]

Answer:

Compare the y-intercepts and slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.

x f(x)

0 1

2 9

4 17

g(x) = 3x + 1

A) The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).

B) The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).

C) The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).

D) The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).

Step-by-step explanation:

5 0
3 years ago
The relationship between antioxidant food consumption per day in cups and the BMI of an individual is modeled by the following l
Katena32 [7]
This is in gradient intercept form (or slope intercept form)
y = mx + b
in this case y = -1.2x + 26
so m (the slope) = -1.2
and the y intercept = 26
I'm not sure what intercept they're asking for.
if you wanted to find the x intercept, just substitute.
y = 0 and find x.
8 0
3 years ago
Please help me if you can. please show how you got the answer.
fomenos

Answer:

Step-by-step explanation:

The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:

\frac{x}{4.5}=\frac{15.3+7.4}{7.4} which simplifies a bit to

\frac{x}{4.5}=\frac{22.7}{7.4} and cross multiply to solve for x:

7.4x = 102.15 so

x = 13.8  That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle:

A = (3.14)(6.9)² and

A = 3.14(47.61) so

A = 149.5 which rounds to 150, Choice C

5 0
3 years ago
Sam has twice as many as books as Jim. If Sam gives 12 books to Jim, they will have the same number of books. How many books do
Vsevolod [243]

Answer:

48

Step-by-step explanation:

Sam had 36 books

Jim had 12

after same gave Jim 12 books, they each had 24 books

5 0
2 years ago
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