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andreyandreev [35.5K]

3 years ago

6

Coleton decides he would like to have $25,000 in six years in order to make a down payment on a home. He finds a bank that will

allow him to earn an annual interest rate of 5% compounded continuously.

1 answer:

mixas84 [53]3 years ago

6 0

A=pe^tr,,25000=pe^(6*0.05),,p=25000/e^0.3=??

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Find the solution set of 5x+7> 17.

Soloha48 [4]

Answer:

x > 2

Step-by-step explanation:

5x +7 > 17

5x > 10

x > 2

8 0

3 years ago

Read 2 more answers

In an arithmetic sequence, the nth term an is given by the formula an=a1+(n−1)d, where a1 is the first term and d is the commo

Dmitry_Shevchenko [17]

Answer:

$a_{10} = \frac{10}{65536}$

Step-by-step explanation:

The first step to solving this problem is verifying if this sequence is an arithmetic sequence or a geometric sequence.

This sequence is arithmetic if:

$a_{3} - a_{2} = a_{2} - a_{1}$

We have that:

$a_{3} = 40, a_{2} = 10, a_{3} = \frac{5}{2}$

$a_{3} - a_{2} = a_{2} - a_{1}$

$\frac{5}{2} - 10 = 10 - 40$

$\frac{-15}{2} \neq -30$

This is not an arithmetic sequence.

This sequence is geometric if:

$\frac{a_{3}}{a_{2}} = \frac{a_{2}}{a_{1}}$

$\frac{\frac{5}[2}}{10} = \frac{10}{40}$

$\frac{5}{20} = \frac{1}{4}$

$\frac{1}{4} = \frac{1}{4}$

This is a geometric sequence, in which:

The first term is 40, so $a_{1} = 40$

The common ratio is $\frac{1}{4}$ , so $r = \frac{1}{4}$ .

We have that:

$a_{n} = a_{1}*r^{n-1}$

The 10th term is $a_{10}$ . So:

$a_{10} = a_{1}*r^{9}$

$a_{10} = 40*(\frac{1}{4})^{9}$

$a_{10} = \frac{40}{262144}$

Simplifying by 4, we have:

$a_{10} = \frac{10}{65536}$

3 0

3 years ago

Rectangle A measures 8 inches by 4 inches. Rectangle B is a scaled copy of Rectangle A. Select all of the measurement pairs that

Anna007 [38]

Answer:

Step-by-step explanation:

Rectangle A measures 8 inches by 4 inches. Rectangle B is a scaled copy of Rectangle A. Select all of the measurement pairs that could be the dimensions of Rectangle B.

15 inches by 11 inches

6 inches by 3 inches

18

6 inches by 2 inches

12

16 inches by 8 inches

10 inches by 5 inches

15 inches by 7.5 inches

10 inches by 6 inches

8 0

3 years ago

Identify the factor terms by grouping: 5x3 – 4x2 + 20x – 16

Elanso [62]

5x3-4x2-20x+16=0 Three solutions were found : x = 4/5 = 0.800 x = 2 x = -2Reformatting the input :Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
Step by step solution :Step 1 :Equation at the end of step 1 : (((5 • (x3)) - 22x2) - 20x) + 16 = 0 Step 2 :Equation at the end of step 2 : ((5x3 - 22x2) - 20x) + 16 = 0 Step 3 :Checking for a perfect cube : 3.1 5x3-4x2-20x+16 is not a perfect cube
Trying to factor by pulling out : 3.2 Factoring: 5x3-4x2-20x+16
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 5x3+16 Group 2: -4x2-20x
Pull out from each group separately :
Group 1: (5x3+16) • (1)Group 2: (x+5) • (-4x)

I hope it helps

8 0

3 years ago

Read 2 more answers

Someone help me . what’s the infinite solution or just what it says help please make sure right .

Gala2k [10]

Answer:

yes it is right

Step-by-step explanation:

3 0

2 years ago