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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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Cloud [144]

Answer:

D

Step-by-step explanation:

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2 years ago
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Which of the following best describes how the y values are changing over each interval? x y 1 20 2 40 3 80 4 160 5 320 They are
MAVERICK [17]
<h3>Answer</h3>

They are being multiplied by 2 each time.

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3 years ago
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When jeremy gets his allowance he agrees to save part of it his savings and expenses are in the ratio of 7:5 if his daily allowa
nignag [31]

He saves $ 1.75 each day from his allowance.

<u><em>Explanation</em></u>

The ratio of his savings and expenses is  7 : 5

Lets assume, his savings = 7x dollar and his expenses is 5x dollar

Given that, his daily allowance is $3. So....

7x+5x=3\\ \\ 12x=3\\ \\ x=\frac{3}{12}= \frac{1}{4}= 0.25

So, the amount of his savings each day =7x= (7*0.25)dollar= 1.75 dollar

8 0
3 years ago
If line segment BC is considered the base of triangle ABC, what is the corresponding height of the triangle?
Leni [432]

Answer:

1.6 units

Step-by-step explanation:

Coordinates of A : (-1,1)

Coordinates of B : (3,2)

Coordinates of C :( -1,-1)

Now to find the length of the sides of the triangle we will use distance formula :

d =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

To find length of AB

A = (x_1,y_1)=(-1,1)

B= (x_2,y_2)=(3,2)

Now substitute the values in the formula:

d =\sqrt{(3-(-1))^2+(2-1)^2}

d =\sqrt{(4)^2+(1)^2}

d =\sqrt{16+1}

d =\sqrt{17}

d =4.12

Now to find length of BC

B= (x_1,y_1)=(3,2)

C = (x_2,y_2)=(-1,-1)

Now substitute the values in the formula:

d =\sqrt{(-1-3)^2+(-1-2)^2}

d =\sqrt{(-4)^2+(-3)^2}

d =\sqrt{16+9}

d =\sqrt{25}

d =5

Now to find length of AC

A = (x_1,y_1)=(-1,1)

C = (x_2,y_2)=(-1,-1)

Now substitute the values in the formula:

d =\sqrt{(-1-(-1))^2+(-1-1)^2}

d =\sqrt{(0)^2+(-2)^2}

d =\sqrt{4}

d =2

Thus the sides of triangle are of length 4.12, 5 and 2

Now to find area of triangle we will use heron's formula :

To calculate the area of given triangle we will use the heron's formula :

Area = \sqrt{s(s-a)(s-b)(s-c)}

Where s = \frac{a+b+c}{2}

a,b,c are the side lengths of triangle  

a = 4.12

b=5

c=2

Substitute the values

Now substitute the values :

s = \frac{4.12+5+2}{2}

s =5.56

Area = \sqrt{5.56(5.56-4.12)(5.56-5)(5.56-2)}

Area = 3.99

Now to find the height of altitude corresponding to side BC

So, formula of area of triangle =\frac{1}{2} \times Base \times Height

Since Area = 3.99 square units

So,3.99 =\frac{1}{2} \times BC \times Height

So,3.99 =\frac{1}{2} \times 5\times Height

3.99 =2.5 \times Height

\frac{3.99}{2.5}=Height

1.596=Height

Thus the altitude corresponding to the BC is of length 1.596 unit  ≈ 1.6 units

Thus Option D is correct.

7 0
3 years ago
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Add bracket to make each statement correct . You may use more than one pair of bracket in each statement .
ElenaW [278]

Answer: (2+3) x (4+5) = 45

Step-by-step explanation:

(2+3) x (4 +5) = 45

5 x 9 = 45

5 0
3 years ago
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