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2 years ago

10

As a sales person, you are paid $100 per week plus a commission of $5 per sale. If you want to earn at least $275 this week, how

many sales you need to make?

1 answer:

dedylja [7]2 years ago

8 0

275-100=175 (amount of bonus) 175÷5 (amount per bonus)= 35 total sales

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Pls help this homework is due tomorrow and I’m so confused thank you for taking your Time x

olchik [2.2K]

Answer:

a) x= 75

b) 105 is the same angle as angle B, I subtracted 180 by 105

180-105= 75

4 0

2 years ago

(1 point) Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference betw

slavikrds [6]

Answer:

a. $\frac{dT}{dt}=k(T-Tm); T(0)=190$

b. $C_{0}=122$

c. $k=-0.00259$

d. $t=153.39838\\$ minutos

Step-by-step explanation:

a. Newton's law of cooling states that the speed with which a body is cooled is proportional to the difference between its temperature and that of the medium in which it is found. Then, the initial value problem is given by:

$Tm=68$

$\frac{dT}{dt}=k(T-Tm); T(0)=190$

b. The differential equation obtained is a differential equation of separable variables:

$\frac{dT}{T-Tm}=kdt\\\\\int {\frac{dT}{T-Tm}}=\int{kdt}\\\\Ln|T-Tm|=kt+C\\\\T(t)=C_{0}e^{kt}+Tm=C_{0}e^{kt}+68\\\\T(0)=C_{0}e^{k(0)}+68=190\\\\C_{0}=122$

c. After 33 minutes of serving the coffee has cooled to 180°:

$T(33)=122e^{33k}+68=180\\\\e^{33k}=\frac{112}{122}\\\\33k=Ln(\frac{112}{122})\\\\k=-0.00259$

d.

$150=122e^{-0.00259t}+68\\\\Ln(\frac{150-68}{122})=-0.00259t\\\\t=153.39838\\\\$

8 0

3 years ago

A car license plate is made up of 7 letters or numbers, where the numbers are whole numbers 0 through 9.

Simora [160]

Answer:

0.28

Step-by-step explanation:

To know the probability we first need to know the total number of choices for each character in the license plate. Since there are a total of 10 possible numbers (0-9) and 26 letters in the English Alphabet. Then this means that each character has a total of 36 possible choices. Out of these 36 only 10 are numbers, therefore the probability of the first character being a number is

$\frac{10}{36}$ or 0.2777

If we rounded the decimal to the nearest hundredth it would be 0.28

4 0

2 years ago

Find the approximate area between the curve f(x) = -4x² + 32x and on the x-axis on the interval [0,8] using 4 rectangles. Use th

Doss [256]

Split up the interval [0, 8] into 4 equally spaced subintervals:

[0, 2], [2, 4], [4, 6], [6, 8]

Take the right endpoints, which form the arithmetic sequence

$r_i=2+\dfrac{8-0}4(i-1)=2i$

where 1 ≤ <em>i</em> ≤ 4.

Find the values of the function at these endpoints:

$f(r_i)=-4{r_i}^2+32r_i=-16i^2+64i$

The area is given approximately by the Riemann sum,

$\displaystyle\int_0^8f(x)\,\mathrm dx\approx\sum_{i=1}^4f(r_i)\Delta x_i$

where $\Delta x_i=\frac{8-0}4=2$ ; so the area is approximately

$\displaystyle2\sum_{i=1}^4(-16i^2+64i)=-32\sum_{i=1}^4i^2+128\sum_{i=1}^4i=-32\cdot\frac{4\cdot5\cdot9}6+128\cdot\frac{4\cdot5}2=\boxed{320}$

where we use the formulas,

$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$

6 0

2 years ago

Write an expression for the calculation divide 15 into thirdsand subtract from 14 divided in half

Neporo4naja [7]

15/3 - 14/2

This is the expression you are looking for

( I'm not 100% sure but I believe this is correct ! )

6 0

2 years ago