Initial amount problem help

Solve for x in the equation x^2+14x+17=-96

nordsb [41]

Answer: x = -7 ± 8i

Step-by-step explanation: Solve the euqation for x by finding a, b, and c of the quadratic then applying the quadratic formula

Hope this helps! :) ~Zane

3 0

3 years ago

Read 2 more answers

Someone please solve all equations

Tamiku [17]

17. (a) The formula with CP subject is $CP=\frac{SP}{1.1}$

(b) The Cost Price of item without GST is $59.50

(c) The GST of item is $5.95

Step-by-step explanation:

Given formula is;

SP = 1.1 * CP

SP = Selling price

CP = Cost price

(a) Rearrange the formula to make CP the subject;

SP = 1.1 * CP

Dividing both sides by 1.1

$\frac{SP}{1.1}=\frac{1.1*CP}{1.1}\\\\\frac{SP}{1.1}=CP\\\\CP=\frac{SP}{1.1}$

The formula with CP subject is $CP=\frac{SP}{1.1}$

(b) Use your formula from (a) to find the Cost Price of an item without GST if the selling price is $65.45

SP = $65.45

$CP=\frac{65.45}{1.1}\\\\CP=\$59.50$

The Cost Price of item without GST is $59.50

(c) Calculate the amount of GST on an item whose selling price is $65.45.

GST = 10% of CP

GST = $\frac{10}{100}*CP$

GST = 0.1CP

From part (b)

CP = $59.50

GST = 0.1 * 59.50

GST = $5.95

The GST of item is $5.95

Keywords: percentage, multiplication

Learn more about multiplication at:

#LearnwithBrainly

3 0

3 years ago

Cramers rule<br>hurry up plzzz

olya-2409 [2.1K]

Answer:

Answers provided below

Step-by-step explanation:

From the simultaneous linear equation, we have the coefficient matrix as;

(3 4 5)

(2 -1 8)

(5 -2 7)

The x-matrix is Dx is given by;

(18 4 5)

(13 -1 8)

(20 -2 7)

Similarly, the y-matrix Dy is given by;

(3 18 5)

(2 13 8)

(5 -20 7)

Also,the z-matrix Dz is given by;

(3 4 18)

(2 -1 13)

(5 -2 -20)

Determinant of the coefficient matrix from online determinant calculator is;

D = 136

Determinant of the x-matrix from online determinant calculator is; Dx = 92

Determinant of the y-matrix from online determinant calculator is; Dy = 696

Determinant of the z-matrix from online determinant calculator is; Dz = 576

From crammers rule;

x = Dx/D = 92/136

y = Dy/D = 696/136

z = Dz/D = 576/136

6 0

3 years ago

In the U.S., 95% of children have received their DTaP vaccine. Calculate the probability that fewer than 700 out of a sample of

Studentka2010 [4]

Answer:

0.0183

Step-by-step explanation:

The percentage of students, who received their DTaP vaccine is 95%.

This implies that:

$p = 0.95$

and

$q = 1 - 0.95 = 0.05$

The standard deviation of the proportion is

$= \sqrt{ \frac{pq}{n} }$

$= \sqrt{ \frac{0.95 \times 0.05}{750} } \\ = 0.00796$

We want to find the probability, that the sample proportion,

$\hat p \leqslant \frac{700}{750} \\ \hat p \leqslant 0.9 \bar3$

$P(\hat p\le0.9\bar3)=P(Z\le \frac{0.9 \bar3 - 0.95 }{0.00796} ) \\ = P(Z\le - 2.09) \\ = 0.0183$

5 0

3 years ago

A. F(x) < 0 on the interval x < 0.

KiRa [710]

f(x) > 0 - I and II quadrant

f(x) < 0 - III and IV quadrant

Look at the picture.

A. F(x) < 0 on the interval x < 0. TRUE

B. F (x) > 0 on the interval x <0. FALSE

C. F (x) < 0 on the interval 0 < x < 1. TRUE

D. F (x) > 0 on the interval 0 < x < 1. FALSE

E. F (x) < 0 on the interval 1 < x < 3. FALSE

F. F (x) > 0 on the interval 1 < x < 3. TRUE

G. F (x) < 0 on the interval x > 3. TRUE

H. F (x) > 0 on the interval x > 3. FALSE

3 0

3 years ago