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FrozenT [24]
3 years ago
5

Kathleen deposits $20 into her account that earns 2.5% interest that is compounded twice a year. How much money will Kathleen ha

ve in her account in 30 years?
Mathematics
1 answer:
shusha [124]3 years ago
5 0
Present value, P = 20
compounding interest per 6 months, i  = 0.025/2 = 0.0125
Number of periods, n = 30*2 = 60 (half-years)

Future value in 30 years
=P(1+i)^n
=20(1.0125)^60
= $42.14
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Which of the quadratic functions has the narrowest graph? y = –2x2 y=-1/2x^2 y = –4x2 y=1/7x^2
vovikov84 [41]
Look at the coefficient of x², ignore the positive or negative sign. The larger the coefficient, the narrower the graph. 
in this case, the coefficients are -2, -1/2, -4, and 1/7
ignore the positive or negative sign, 4 is the largest number, so y=-4x² is the narrowest.

Note: the positive/negative sign tells you whether the graph opens upward or downward. It doesn't determine the width of the graph. 

5 0
3 years ago
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit
coldgirl [10]
Changing the equation into slope form: y = mx + c, where m is the slope [gradient] and c is the y-intercept.

2x+3y=1470
3y = -2x+1470
y= - \frac{2}{3}x+ \frac{1470}{3}
y=- \frac{2}{3}x+490

The gradient is - \frac{2}{3} and y-intercept is at y=490

Graphing y=- \frac{2}{3}x+490 using slope-intercept method:
a) The slope is a negative slope. The line will go 'down hill'
b) The line must pass the point (0, 490)
c) The line will intercept the x-axis at y = 0
    0 = - \frac{2}{3}x+490
    \frac{2}{3}x = 490
    2x = 1470
    x = \frac{1470}{2}
    x = 735
    So, x-intercept is at (735, 0)

The graph of this function is shown below. The intercepts are labelled at:
y = 490
x = 735

-----------------------------------------------------------------------------------------------------------

Next month's profit equation

2x+3y=1593

Rewriting this into slope-equation form

3y = -2x+1593
y=- \frac{2}{3}+ \frac{1593}{3}
y= - \frac{2}{3}+531

The gradient, m, equals to - \frac{2}{3}
The y-intercept, c, equals to 531

The equation still has the same gradient with last month's profit equation but different y-intercept. 

-------------------------------------------------------------------------------------------------------------

A linear graph show points of (0, 300) and (450, 0)

We work out the slope: 
\frac{300-0}{0-450} = \frac{300}{-450}=- \frac{20}{30}  =- \frac{2}{3}


Y-intercept at x = 0, so it's at y = 300

Equation y = - \frac{2}{3}+300

6 0
3 years ago
Which statement is true
saul85 [17]

Answer:

C is correct

Step-by-step explanation:

I just know this from having previously learned it, I'm not sure how to explain it but hope the answer helps!

8 0
3 years ago
Five kittens share 6 cups of milk equally. How much milk does each kitten get?
lisov135 [29]

Answer:

They get .83 cup per.

Step-by-step explanation:

Divide 6 by 5. So do 6 / 5, which gets you 0.833333333

5 0
3 years ago
Write 49,000 in scientific notation?
prisoha [69]

Answer:

4.9x10^4

Step-by-step explanation:

4.9*10000=49,000

8 0
3 years ago
Read 2 more answers
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