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yulyashka [42]
3 years ago
5

SAVINGS ACCOUNT

Mathematics
1 answer:
yarga [219]3 years ago
4 0

Answer:

$4000 was invested at 4%, 2500 was invested at 3%

Step-by-step explanation:

First and foremost the question has to be define.

Total amount raised is $6500

Savings account percentage simple interest =3%

Government Bond: 4% simple interest

Equation for amount invested at each rate:

(6500-x)0.03 + 0.04x = 235

195 - 0.03x + 0.04x = 235

0.01x = 40

x = 4000

$4000 was invested at 4%, 2500 was invested at 3%

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I need some help with the question
vagabundo [1.1K]

To solve this you first need to turn your mixed numbers into improper fractions. to do this for 9 \frac{4}{5} you multiply the denominator (5) by the whole number (9) to get 45 and then add that to the numerator (4) to get your new fraction \frac{49}{5}.

You repeat this process with 3\frac{1}{2} to get \frac{7}{2}.

Now that you have two fractions you can multiply by the opposite reciprocal. To do this you flip the second fraction and change the division sign to a multiplication sign like so \frac{49}{5} * \frac{2}{7}

Then, you just multiply the fractions by multiplying the numerators to get 98 and multiplying the denominators to get 35.

Now, to simplify \frac{98}{35} * \frac{2}{7} you first divide both the numerator and denominator by 7 to get \frac{14}{5} * \frac{2}{7}.

Finally, you can take 10 out of the numerator to make 2\frac{4}{5} * \frac{2}{7}

8 0
4 years ago
What is the slope of the line through(-5,2)and (6,7) on a standard (x,y) coordinate plane.
Sergio039 [100]

Answer:

m= 5/11

Step-by-step explanation:

(-5,2) and (6,7)

Slope:

m=(y2-y1)/(x2-x1)

m=(7-2)/(6+5)

m= 5/11

7 0
3 years ago
Santo chose c as the correct
Evgesh-ka [11]
Is this a question or an answer
7 0
3 years ago
A farmer finds that if she plants 50 trees per acre, each tree will yield 80 bushels of fruit. She estimates that for each addit
pashok25 [27]

Answer:

28

Step-by-step explanation:

From the given information:

Let x be the number of trees.

F(x) = (50 +x) (20 - 3x)

F(x) = 1000 - 150x + 20x - 3x²)

F(x) = -3x² - 130x + 1000

Differentiating F(x) with respect to x;

F'(x) = \dfrac{d}{dx}( -3x^2- 130x + 1000)

F'(x) = ( -3(2x)- 130(1) +0)

F'(x) = -6x -130

Now; we set F'(x) to be equal to zero to determine the critical value;

-6x - 130 = 0

x = - 130/6

Differentiating F''(x) with respect to x

F''(x) = \dfrac{d}{dx}( -6x- 130)

F''(x) = ( -6(1))

F''(x) = -6 (<0)

Thus; by the second derivative, the revenue function F(x) is maximum when x = -130/6

Therefore, the number of trees she should plant per acre to maximize her harvest is:

50 + x = 50 - 130/6

= 85/3

\simeq 28

Therefore, the number of trees per acre to maximize the harvest is 28

6 0
3 years ago
Zander was given two functions: the one represented by the graph and the function f(x) = (x + 4)2. What can he conclude about th
Svetradugi [14.3K]

The conclusion about the functions is they have the same y-intercept.

<h3>How to make conclusion about the functions?</h3>

The complete question is added as an attachment

The function is given as:

f(x) = (x + 4)^2

From the attached graph, the graph has a y-intercept at:

y = 16

This can be represented as:

(0, 16)

Next, we set x = 0 in f(x) = (x + 4)^2

f(0) = (0 + 4)^2

Evaluate

f(0) = 16

This means that the y-intercept of f(x) = (x + 4)^2 is (0, 16)

So, the functions have the same y-intercept

Hence, the conclusion about the functions is they have the same y-intercept.

Read more about y-intercept at

brainly.com/question/25722412

#SPJ1

3 0
1 year ago
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