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3 years ago

Help I understand but explain the steps and how you got it

Mathematics

1 answer:

ladessa [460]3 years ago

7 0

Answer:

7-4 = 3

the change is 3 emails

Step-by-step explanation:

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Vesnalui [34]

The new box can hold 1335cm than the old box

5 0

3 years ago

For the following amount at the given interest rate compounded continuously, find (a) the future value after 9 years, (b) the

Stella [2.4K]

Answer:

(a) The future value after 9 years is $7142.49.

(b) The effective rate is $r_E=4.759 \:{\%}$ .

(c) The time to reach $13,000 is 21.88 years.

Step-by-step explanation:

The definition of Continuous Compounding is

If a deposit of $P$ dollars is invested at a rate of interest $r$ compounded continuously for $t$ years, the compound amount is

$A=Pe^{rt}$

(a) From the information given

$P=4700$

$r=4.65\%=\frac{4.65}{100} =0.0465$

$t=9 \:years$

Applying the above formula we get that

$A=4700e^{0.0465\cdot 9}\\A=7142.49$

The future value after 9 years is $7142.49.

(b) The effective rate is given by

$r_E=e^r-1$

Therefore,

$r_E=e^{0.0465}-1=0.04759\\r_E=4.759 \:{\%}$

(c) To find the time to reach $13,000, we must solve the equation

$13000=4700e^{0.0465\cdot t}$

$4700e^{0.0465t}=13000\\\\\frac{4700e^{0.0465t}}{4700}=\frac{13000}{4700}\\\\e^{0.0465t}=\frac{130}{47}\\\\\ln \left(e^{0.0465t}\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t\ln \left(e\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t=\ln \left(\frac{130}{47}\right)\\\\t=\frac{\ln \left(\frac{130}{47}\right)}{0.0465}\approx21.88$

3 0

3 years ago

Which statements are true about the ordered pair (10, 5) and the system of equations?

RSB [31]

Answer:

m<BEC = 40o

Step-by-step explanation:

4 0

3 years ago

For a party , Mr and Mrs. Kemper made 7.25. gallons of fruit punch.How many quarts of punch did they make.

lina2011 [118]

There are 29 quarts of fruit punch in 7.25 gallons of fruit punch.

4 0

3 years ago

A jar contained 8 balls: 6 red, 1 green and 1 blue.

tester [92]

Answer:

$\{R,GR,BR,GBR,BGR\}$

Step-by-step explanation:

Sample space is a set of possible outcomes of a random experiment.

A random experiment is an experiment whose outcomes can not be predicted.

Number of red balls = 6

Number of green ball = 1

Number of blue ball = 1

Let R denotes red ball, B denotes blue ball and G denotes green ball.

Sample space = $\{R,GR,BR,GBR,BGR\}$

6 0

3 years ago