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3 years ago

8+|1+(-15)| how do u solve this ?

1 answer:

5 0

Okay the two legs ( as I like to call it ) or the absolute value symbols mean anything inside of it is automatically positive :)

so | 1 + ( -15 ) | = | -14 |

But with the absolute value symbols makes the negative 14 into positive

Now you are left with 8 + 14

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Phyllis invested 51000 dollars, a portion earning a simple interest rate of 4 percent per year and the rest earning a rate of 7

Liono4ka [1.6K]

Answer:

Phyllis invested $11,000 at a simple interest rate of 7 percent per year and $40,000 at a simple interest rate of 4 percent per year.

Step-by-step explanation:

From the information provided, you can write the following equations:

x+y=51000 (1)

0.04x+0.07y=2370 (2), where

x is the portion earning a simple interest rate of 4 percent per year

y is the portion earning a simple interest rate of 7 percent per year

First, you can isolate x in (1):

x=51000-y (3)

Now, you can replace (3) in (2) and solve for y:

0.04(51000-y)+0.07y=2370

2040-0.04y+0.07y=2370

0.03y=330

y=330/0.03

y=11000

Then, you can replace the value of y in (3) to find the value of x:

x=51000-11000

x=40000

According to this, the answer is that Phyllis invested $11,000 at a simple interest rate of 7 percent per year and $40,000 at a simple interest rate of 4 percent per year.

3 0

3 years ago

What change(s) should Sylvia make to the equation to find the value of t in the above scenario?

finlep [7]

Answer:

Option (D).

Step-by-step explanation:

Initial population of the deer $P_{0}$ = 4800

Decrease in the population of the deer after every 8 years = $\frac{1}{2}\times (\text{Initial population})$

Decrease in population is an exponential process, so the expression representing population will be,

$P_{t}=P_{0}(1-r)^x$

Where $P_{t}$ is the population after 'x' slots of 8 years.

r = fraction of decrease in the population

x = $\frac{\text{Number of years}}{8}$

By substituting the values of r and x in the expression,

$P_{t}=P_{0}(1-\frac{1}{2})^{\frac{t}{8}}$

$P_{t}=4800(\frac{1}{2})^{\frac{t}{8}}$

Therefore, Sylvia should do few corrections in her expression.

(8) should be replaced by ( $\frac{1}{2}$ ) and $\frac{t}{2}$ should be replaced by $\frac{t}{8}$ .

Option D. will be the answer.

5 0

3 years ago

A woman bought 210

artcher [175]

Answer:

Profit = 75

Step-by-step explanation:

Selling price of 3 oranges = 2

There are 210÷3 = 70 set of oranges

Selling price of 1 set (3 oranges) of orange = 2

Selling price of 70 set of oranges = 70 * 2 = 140

Cost of 210 oranges = 65

Profit = selling price - cost price

= 140 - 65

= 75

7 0

3 years ago

At work, Brett must check and record the internal temperature of the freezer on an hourly basis. When working properly, the temp

kiruha [24]

Answer:

Zero

Step-by-step explanation:

The temperature will remain constant over time. This means the slope of the graph will be constant from one point of the graph to the other, which cancels out to zero.

8 0

3 years ago

2. A chemist has a 25% and a 50% acid solution. How

AnnZ [28]

Answer:

x is mL of 25% acid and y is mL of 50% acid

We set up 2 equations:

A) x + y = 250

B) .25 x + .50y = .35 * 250 which equals

B) .25x + .50y = 87.50 Multiplying A) by -.5

A) -.5x -.5y = -125 adding the equations we get

-.25x = -37.50

x = 150 mL

y = 100 mL

Source: http://www.1728.org/mixture.htm

Step-by-step explanation:

7 0

3 years ago