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Vladimir79 [104]
3 years ago
9

You found a pair of shoes that cost $80. The store has them on sale for 30% off. How much will you pay for the shoes after the d

iscount?
Mathematics
1 answer:
GREYUIT [131]3 years ago
5 0

Answer:

You will pay 24 dollars for the shoes after the discount.

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Jackson purchases a new car for $48,000. The car's value can be modeled by the
vekshin1

We have been given that Jackson purchases a new car for $48,000. The car's value can be modeled by the  following exponential function: y = 48000(0.76)^t where y represents the car's  value and t represents time in years. We are asked to find the decay rate as a percentage.

We know that an exponential decay function is in form y=a\cdot (1-r)^x, where,

y = Final value,

a = Initial value,

r = Decay rate in decimal form,

x = time.

Upon comparing our given function y = 48000(0.76)^t with standard decay function  y=a\cdot (1-r)^x, we can see that 1-r=0.76.

Let us solve for r.

1-1-r=0.76-1

-r=-0.24

r=0.24

Let us convert 0.24 into percentage.

0.24\times 100\%=24\%

Therefore, the decay rate is 24%.

8 0
3 years ago
Suppose a and b are both non zero real numbers. Find real numbers c and d such that 1/a+ib= c+id
Thepotemich [5.8K]

\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}

Explanation

\frac{1}{a+bi}=c+di

Step 1

multiplicate by the conjugate

\begin{gathered} \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(bi)^2} \\ \frac{1}{a+bi}\cdot\frac{a-bi}{a+bi}=\frac{a-bi}{(a+bi)(a-bi)}=\frac{a-bi}{a^2-(-b^2)}=\frac{a-bi}{a^2+b^2} \end{gathered}

notice that

\begin{gathered} \frac{1}{a+bi}=\frac{a-bi}{a^2+b^2}=\frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i \\ \frac{a}{a^2+b^2}-\frac{b}{a^2+b^2}i=c+di \\ so \\  \end{gathered}\begin{gathered} c=\frac{a}{a^2+b^2} \\ d=\frac{-b}{a^2+b^2} \end{gathered}

I hope this helsp you

6 0
1 year ago
Is square root of 12 over 4 is irrational or rational and why
Oliga [24]
Rational because the answer was simplified already as 12÷4=3
8 0
3 years ago
Read 2 more answers
Need help on my math work here is a pic of the question
faltersainse [42]

Answer:

-3

Step-by-step explanation:

A = midpoint

-17 + 5 = -12

-12/2 = -6 = A

-6 + 0 = -6

-6/2 = -3 = B

8 0
2 years ago
Read 2 more answers
A kite is flying 9.75 feet above a lamp post that is 84 2/3 feet tall. How high is the kitchen flying?
Elden [556K]

The kite is flying at the height of 94 5/2 feet.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.

= 9.75 +84 2/3                                               { 9+0.75 = 9.75   84 2/3}

= 9 + 0.75 +84 2/3                                           { a+b+c+d = a+c+b+d}

= 9 + 84 + 3/4 + 2/3

=93 + 3*3 / 4*3 + 4*2 / 4*3

= 93 + 9/12 + 8/12

= 93 + 17/12

= 93 + (1 + 5/12)

= 94 + 5/12

=94 5/12 feet

{kite height = (post height + the height of the kite above the post)

To learn more about addition from given link

brainly.com/question/24536701

#SPJ9

8 0
1 year ago
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