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3 years ago

How do I solve this problem?

Mathematics

1 answer:

frez [133]3 years ago

3 0

Answer:

x + 10.5

Step-by-step explanation:

First, divide 2x + 21 by 2, and you get x + 10.5.

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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

How doo you know if its a.m or p.m but im like in first grade dont laugh

Luba_88 [7]

Answer:this is the answer

Step-by-step explanation:

Two 12-Hour Periods The 12-hour system divides the 24 hours of a day into two periods lasting 12 hours each. The first 12-hour period is designated as am. It runs from midnight to noon. The second period, marked pm, covers the 12 hours from noon to midnight.

4 0

3 years ago

What is the third angle of a right triangle if one of the angles measures 51.5°?

Vesnalui [34]

The third angle: 180° - 90° - 51.5° = 48.5°

3 0

3 years ago

Read 2 more answers

1 Frederick planted a tree in his backyard. He is 6 feet tall and his shadow along the ground has a length of 8 feet. The tree i

wariber [46]

Answer:

72 ft. 6ft x8ft +24=72 ft

7 0

3 years ago

P(t) =8000(1.08)^t<br> What is the year the population reaches 11755

Vsevolod [243]

Answer:

Step-by-step explanation:

Your answer

P(t) = 8000(1.08)^t= 11755

.. ..... (1.08)^t= 1.469375

........ t = 5

Mark it as Brainlist answer. Follow me.

8 0

3 years ago

How do I solve this problem? ​

How do I solve this problem?