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lana [24]
3 years ago
15

PLEASE HELP!!!! ❗❗❗❗❗❗❗

Mathematics
1 answer:
Serjik [45]3 years ago
7 0

Answer:

6.27 minutes

Step-by-step explanation:

3.96+2.1=6.06

1/10=0.1x2.1=0.21+6.06=6.27

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Find a formula for the exponential function passing through the points (-1,5/3) and (3, 135).
Artyom0805 [142]

The expression y = 4.998 · e^{1.098\cdot x} is the exponential function that passes through the points (- 1, 5 / 3) and (3, 135).

<h3>How to derive an exponential function that passes through two given points</h3>

Herein we find the location of two points set on Cartesian plane that belongs to an exponential function of the form:

y = A \cdot e^{B \cdot x}

Where:

  • A - y-Intercept of the exponential function.
  • B - Growth factor
  • x - Independent variable.
  • y - Dependent variable.

Which is equivalent to the following logarithmic expression:

㏑ y = ㏑ A + B · x

If we know that (x₁, y₁) = (- 1, 5 / 3) and (x₂, y₂) = (3, 135), then the following system of equations is generated:

㏑ (5 / 3) = ㏑ A - B

㏑ 135 = ln A + 3 · B

Then, we solve the system by numerical methods:

㏑ A = 1.609 (A = 4.998), B = 1.098

And the exponential function is equal to y = 4.998 · e^{1.098\cdot x}.

To learn more on exponential functions: brainly.com/question/11487261

#SPJ1

6 0
2 years ago
Dayami works at Future Shop and earns $10.50/h plus 6% commission on sales. Last
skad [1K]
<h2><u>Quick answer</u> :</h2>

= \tt\$570

<h2><u>Answer with steps</u> :</h2>

Money Dayami earns for an hour's work = $10.50

Number of hours Dayami worked last week = 40

Money Dayami would have gotten for her work :

=\tt 10.50 \times 40

=\tt  \$ \: 420

Thus, money earned by Dayami for her work = $420

Total sales Dayami made last week = $2050

Money Dayami must have earned as commission :

= 6% of total sales

= \tt6 \% \: of \: 2500

=  \tt\frac{6}{100}  \times 2500

=\tt  \frac{15000}{100}

=\tt \$150

Thus, money Dayami earned as a commission = $150

Dayami's weekly gross salary last week :

= \tt420 + 150

=\color{plum} \tt \: \$570

Thus, total salary = $570

Therefore, Dayami's gross salary last week =<u> $570</u>

7 0
3 years ago
The area of a rectangle is 5 4/5 square meters. The width of the rectangle is 2 1/4 meter. Which is the best estimate for the le
AlekseyPX

5 4/5 divided by 2 1/4=

change to decimals:

5.8/2.25=2.57

change 2.57 to fraction:  about 2 3/5

so, the estimate for the length is 2 3/5

3 0
3 years ago
Should the line of best-fit travel through the origin of the graph . Explain your reasoning
igomit [66]
No because if it does then you had no human error and based on what your graphing it is very unlikely that when you have zero at your x axis you will also reasonably be at zero on your y axis! Hope this helps you
7 0
3 years ago
Plz give me the correct answer plz plz and thank you ❤️
Paul [167]

Answer:

every time the month increases by one, the amount in savings increases by 4

Step-by-step explanation:

10 + 4 = 14

6 0
3 years ago
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