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Artist 52 [7]
3 years ago
11

John invests $5625 into a savings account with a fixed annual interest rate of 7% compounded continuously. How many years will i

t take for the account to reach $37233.95? Round to the nearest whole number.
Mathematics
1 answer:
mihalych1998 [28]3 years ago
8 0

Answer:

Step-by-step explanation:

use the formula A=P(1+r)^t

37233.95=56259(1+.07)^t

37233.95=60197.13^t

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Tom received an allowance of $300 for his upcoming trip to Canada. He knows that he will spend $15 each day on food. Which equat
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Answer:

m=15d-300

Step-by-step explanation:

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3 years ago
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HELP ME PLEASE!!!
ser-zykov [4K]

parallel lines, have the same exact slope, hmmm what is the slope of y = -2/3 x + 1/3 anyway? well, low and behold, the equation is already in slope-intercept form, therefore


\bf ~~y=\stackrel{slope}{-\cfrac{2}{3}}x+\cfrac{1}{3}~~ has a slope of -2/3.


so we're really looking for a line whose slope is -2/3 and runs through 9,4.


\bf (\stackrel{x_1}{9}~,~\stackrel{y_1}{4})~\hspace{10em}slope =  m\implies -\cfrac{2}{3}\\\\\\\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-4=-\cfrac{2}{3}(x-9)\\\\\\y-4=-\cfrac{2}{3}x+6\implies y=-\cfrac{2}{3}x+10

8 0
3 years ago
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if some one did 35% of their hw over 7 days if that person reads the same amount of pages each night , how many more days will i
Llana [10]

Answer:

13

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6 0
2 years ago
The Royal Fruit Company produces two types of fruit drinks. The first type is 60% pure fruit juice, and the second type is 85% p
elena-s [515]
Make 2 equations from the question first
x is the number of pints for type 1
y is the number of pints for type 2

The equation
x + y = 120
60% x + 85% y = 65% (x + y)

Solve the equation
From the 2nd equation
0.6x + 0.85y = 0.65(x + y)
0.6x + 0.85y = 0.65x + 0.65y
0.85y - 0.65y = 0.65x - 0.6x
0.2y = 0.05x
y = 4x

From the 1st equation
x + y = 120
x + 4x = 120
5x = 120
x = 24

y = 4x
y = 96

The first type should be 24 pints, the second type should be 96 pints
5 0
3 years ago
(1 point) A random sample of 600 movie goers in Flagstaff found 252 movie goers who had bought popcorn on their last visit. Find
garik1379 [7]

<u>Answer-</u>

A 95% confidence interval for the true percent of movie goers is 36.41% to 44.25%

<u>Solution-</u>

Given,

n = 600 (sample size)

x = 252 (number of people who bought)

Confidence interval = 95%, so z = 1.96

We know that,

\mu = M\pm Z(SE)

where,

M = sample mean

Z  = Z statistic determined by confidence level

SE = standard error of mean

Calculating the values,

M=\frac{x}{n} =\frac{242}{600} =0.4033

Z=1.96 from the tables

SE=\sqrt{\frac{M\times (1-M)}{n}}

\Rightarrow SE=\sqrt{\frac{0.4033\times (1-0.4033)}{600}}=0.02

Putting all the values in the formula,

\mu = M\pm Z(SE)

\mu = 0.4033\pm 1.96(0.02)

=0.4033\pm 0.0392

=0.4425, 0.3641

= 44.25\%,36.41\%

5 0
3 years ago
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