As part of a screening process, computer chips must be operated in an oven at 145 °C.

Jacob is working two summer jobs, making $10 per hour washing cars and making $8 per hour landscaping. In a given week, he can w

Burka [1]

Answer:

Step-by-step explanation:

Let x represent the number of hours that that he spent washing cars.

Let y represent the number of hours that that he spent landscaping.

In a week, he can work no more than 19 total hours. This means that

x + y ≤ 19- - - - - - - - - - - -1

Jacob is working two summer jobs, making $10 per hour washing cars and making $8 per hour landscaping. He must earn at least $170. This means that

10x + 8y ≥ 170 - - - - - - - - - -2

If Jacob worked 4 hours landscaping, it means that

x + 4 ≤ 19

x ≤ 19 - 4

x ≤ 15

Also,

10x + 8 × 4 ≥ 170

10x + 32 ≥ 170

10x ≥ 170 - 32

10x ≥ 138

10x ≥ 138/10

x ≥ 13.8

The minimum number of hours is 14

6 0

4 years ago

Solve and show your work for each question a). B). C).

Andreyy89

Answer:

Step-by-step explanation:

a) Here, the first term is .48 and the common ratio is 1/100 (since each new 48 is 1/100 th of the previous 48). a

Use the formula s = sum of geometric series = -----------

1 - r

0.48 48

which in this case is s = --------------- = ------------ = 48/99 = 16/33

1 - 1/100 100 - 1

Check this result by finding 16/33 on a calculator. Is the result equal to 0.484848484848.... ? Yes

b) Here we have the bar over the 8 only. 0.48 with the bar over the 8 is equivalent to 0.4888888888 ...

0.08

or 0.4 + 0.0888888888 ... or 0.4 + ------------

1 - 1/10

0.08 8

and this simplifies to 0.4 + ------------ = 0.4 + ---------

9/10 90

Evaluating this last result on a calculator results in 0.488888888 ...

c) 0.48 expressed as a fraction is 48/100 = 12/25

6 0

3 years ago

A guy-wire is attached to a pole for support. If the angle of elevation to the pole is 67° and the wire is attached to the groun

Andrews [41]

The angle = 67<span>° and the pole is a right-angled triangle. Therefore the distance required to find (say "x) is the angle opposite the right-angle. The following equation needs to be solved:

cos 67 = 137 / x

Solving for x;
x = 350.62 ft</span>

3 0

3 years ago

The barbers profit p each week depends on his charge c per haircut. It is modeled by the equation p= -200c^2+2400c-4700. What pr

shepuryov [24]

Answer:

0 ≤ c ≤ 12

Step-by-step explanation:

The function can be rearranged to ...

p = 200c(12 -c) -4700

suggesting that revenue will be zero for a charge of 0 or for a charge of 12, and that fixed expenses are 4700. Charges less than 0 are uninteresting, and charges high enough to cause the number of customers to be negative also don't make any sense in this context.

Though out of the range of likely consideration, charges low or high enough to cause profit to be negative (more than 9.54, for example) seemingly can be reasonably modeled by this function.

5 0

3 years ago

Jose takes a job that offers a monthly starting salary of $2200 and guarantees him a monthly raise of $105 during his first year

vodka [1.7K]

Answer:

$3355

Step-by-step explanation:

Since the job offers starting salary of $2200 and monthly raise of $105 during his first year of training.

∴ a = 2200 and d = 105

Since the general form of A.P is,

a, a + d, a + 2d, a + 3d, ............. $a_{n}$

Where, $a_{n}$ is the last term of A.P or his monthly salary at the end of his training and n is the number of terms in a series.

So, the A.P is:

2200, 2200 + 105, 2200 + 2(105) ......... $a_{n}$

2200, 2305, 2410 ............ $a_{n}$

Since there is 12 month in a year therefore, n = 12.

$a_{n} = a + (n - 1) d\\$

. $a_{n}$ = 2200 + ( 12 - 1) × 105

= 2200 + 11 × 105

= 2200 + 1155

= 3355

∴ . $a_{n}$ = 3355

So the monthly salary of Jose at the end of his training is 3355$.

8 0

3 years ago