The temperature dropped a total of 84 degrees in a 3 hour period in Canada. Suppose the temperature dropped

Tamara earns 2,050 every month. She spends 65% on the amount that she earns. The rest of the money is equally divided and deposi

victus00 [196]

Answer:

Tamara earns $2,050 each month.

She spends 65% of that, so the amount that she spends is:

S = (65%/100%)*$2,050 = 0.65*$2,050 = $1,332.50

Then the amount that she has left is:

R = $2,050 - $1,332.50 = $717.50

Now she divides that in half, and deposits those amounts in two separate accounts.

She deposits $717.50/2 = $358.75 in each acount.

Then she deposits $358.75 per month, so after x months she has:

x*$358.75 in each of those accounts, so one of the accounts will have more than $2,500 when:

x*$358.75 = $2,500

x = $2,500/$358.75 = 6.96

So after 6.96 moths she will have more than $2,500 in one of her accounts, we can round it to:

After 10 months Tamara has deposited more than 2,500 in one of her accounts.

4 0

3 years ago

1. What are the solutions (coordinate points) to the system of equations?

Leto [7]

Question 1

The given system of equations is:

$y = {x}^{2} + 5x + 6 \\ y = 3x + 6$

Equate the two equations:

${x}^{2} + 5x + 6 = 3x + 6$

Rewrite in standard form:

${x}^{2} + 5x - 3x + 6 - 6 = 0$

${x}^{2} + 2x = 0$

$x(x + 2) = 0$

$x = 0 \: or \: x = - 2$

When we put x=0, in y=3x +6, we get:

$y = 3(0) + 6 = 6$

One solution is (0,6)

When we put x=-2, into y=3x+6, we get:

$y = 3( - 2) + 6 = 0$

Another solution is (-2,0)

The solutions are; (0,6) and (-2,0)

Question 2:

The function is

$f(x) = {x}^{6} - {x}^{4}$

Let us put x=-x,

$f( - x) = {( - x)}^{6} - {( - x)}^{4}$

This gives:

$f( - x) = {x}^{6} - {x}^{4}$

We can observe that:

$f(x) = f( - x)$

This is the property of an even function.

Question 3:

The given function is

$f(x) = {x}^{2} + 3x - 2$

The average rate of change of f(x) from x=a to x=b is given as:

$\frac{f(b) - f(a)}{b - a}$

This is the slope of the secant line connecting the two points on f(x)

From x=2 to x=6, the average rate of change

$= \frac{f(6) - f(2)}{6 - 2} \\ = \frac{ {6}^{2} + 3 \times 6 - 2 - {2}^{2} - 3 \times 2 + 2 }{4} \\ = \frac{36 + 18 - 4 - 6}{4} \\ = \frac{44}{4} \\ = 11$

The average rate of change is 11

3 0

3 years ago

5) Last week a Pizza Hut sold 36 cheese pizzas, 64 pepperoni pizzas, and 20 veggie pizzas. Based on these data, which number is

Goshia [24]

Answer:

$P(Cheese) = 0.30$

Step-by-step explanation:

Given

$Cheese = 36$

$Pepperoni = 64$

$Veggie = 20$

Required

$P(Cheese)$

This is calculated as:

$P(Cheese) = \frac{Cheese}{Total}$

$P(Cheese) = \frac{36}{36+64+20}$

$P(Cheese) = \frac{36}{120}\\$

$P(Cheese) = 0.30$

7 0

3 years ago

PLEASE HELP ITS ALMOST DUE

taurus [48]

Answer:

we have"

$\frac{q}{36}=\frac{16-q}{28}\\\\28q=36(16-q)\\\\28q=576-36q\\\\64q=576\\\\=>q=9$

Step-by-step explanation:

6 0

3 years ago

Jim's uncle is 4 times as old as his nephew jim. in 10 years, jim's uncle's age will be 20 years more than twice jim's age. how

xxTIMURxx [149]

Jim is currently 15 years old.

5 0

3 years ago