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kozerog [31]
2 years ago
11

Bart wants to deposit his piggy bank savings into a savings account. If he deposits $325. 76, how many whole years will it take,

at 2% simple
Interest, for that amount to grow to $400. 00?


A. 12 years

B. 4 years

C. 16 years

D. 8 years
Mathematics
1 answer:
vladimir1956 [14]2 years ago
6 0

Answer:

Step-by-step explanation:

Compounding interest :

Future value of money = Present value * (1+ r)^N

r - interest rate

n - number of period

In our example, Present value = 325.76, FV = 400, r = 2%, and we need to find N

by solving that we can find it that N is equal to 10.3675

Simple interest :

400 - 325.76 = 74.26$ we need to increase

325.76*2% = 6.5152$ each year

74.26 / 6.5152 = 11.3949

as a whole year = 12years

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Answer:

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Step-by-step explanation:

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3 years ago
I NEED HELP WITH THIS PROBLEM
allochka39001 [22]
In a triangle, the midline joining the midpoints of two sides is parallel to the third side and half as long

2(5x+2) = 3x + 32
10x + 4 = 3x + 32
10x - 3x = 32 - 4
7x = 28
x = 28/7
x = 4

The length of the midsegment = 5x+2 = 5·4 + 2 = 22
3 0
3 years ago
Which of the following is a solution to the equation 4x2+4x−3=0?
Readme [11.4K]

Answer:

-1.5

Step-by-step explanation:

4x² + 4x - 3 = 0

(2x + 3)(2x - 1) = 0

2x + 3 = 0  or  2x - 1 = 0

x = -3/2   or x = 1/2

Answer: -1.5

6 0
2 years ago
Read 2 more answers
Find the derivative of the function at P 0 in the direction of A. ​f(x,y,z) = 3 e^x cos(yz)​, P0 (0, 0, 0), A = - i + 2 j + 3k
Alik [6]

The derivative of f(x,y,z) at a point p_0=(x_0,y_0,z_0) in the direction of a vector \vec a=a_x\,\vec\imath+a_y\,\vec\jmath+a_z\,\vec k is

\nabla f(x_0,y_0,z_0)\cdot\dfrac{\vec a}{\|\vec a\|}

We have

f(x,y,z)=3e^x\cos(yz)\implies\nabla f(x,y,z)=3e^x\cos(yz)\,\vec\imath-3ze^x\sin(yz)\,\vec\jmath-3ye^x\sin(yz)\,\vec k

and

\vec a=-\vec\imath+2\,\vec\jmath+3\,\vec k\implies\|\vec a\|=\sqrt{(-1)^2+2^2+3^2}=\sqrt{14}

Then the derivative at p_0 in the direction of \vec a is

3\,\vec\imath\cdot\dfrac{-\vec\imath+2\,\vec\jmath+3\,\vec k}{\sqrt{14}}=-\dfrac3{\sqrt{14}}

3 0
3 years ago
(40 POINTS)
Y_Kistochka [10]

Answer:

1.  f(0) =  501170

2.  decreasing

3.  2% decrease

4. 302438

Step-by-step explanation:

In 1995 x=0

f(x) = 501170(0.98)^0

f(0) =  501170

The population is decreasing since we are multiplying by .98 ^x

.98 is less than 1 so it is getting smaller each time.

1 -.98 = .02

It is decreasing by 2 % each year

2020-1995  =25 years

f(25) = 501170(0.98)^25

        =302438.41862

Rounding to the nearest whole number

          302438

7 0
3 years ago
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