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ycow [4]
3 years ago
13

4

Mathematics
1 answer:
alex41 [277]3 years ago
7 0

Answer:

Step-by-step explanation:

Hope it helps

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4400 dollars is placed in an account with an annual interest rate of 7.5%. To the nearest tenth of a year, how long will it take
Katarina [22]

Answer:

Step-by-step explanation:

The equation for the amount of money in an account after a certain amount is deposited and compounded after t years once per year is

A(t)=P(1+r)^t

Our A(t) = 33800, P = 4400, r = .075 and we are looking for t.  Filling in:

33800=4400(1+.075)^t and

33800=4400(1.075)^t

Begin by dividing both sides by 4400 to get

7.681818182=1.075^t

The only way to move that t our from its current position as an exponent is to take the natural log of both sides and follow the rules for natural logs:

ln(7.6181818182=ln(1.075)^t

The power rule of natural logs says we can move that exponent down in front, giving us:

ln(7.681818182)=t*ln(1.075)

Divide both sides by ln(1.075) to get

\frac{ln(7.61818182)}{ln(1.075)} =t

Do this division on your calculator to get

t = 28.2 years

6 0
3 years ago
Read 2 more answers
9 pencils cost $7.74<br> Which equation would help determine the cost of 6 pencils?
Stells [14]

Answer $5.16

Step-by-step explanation:

$7.74 divided by 9 is 0.86 so 0.86 per pencil mutiply that by 6 because you have six pencils and you get 5.16 for six pencils

5 0
3 years ago
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Mmmm! I love apple cider punch this time of year, and so do all my neighbors. My recipe calls for two quarts of apple cyder, thr
pickupchik [31]

Answer:

j

Step-by-step explanation:

8 0
3 years ago
Given the formula for an arithmetic sequence f(7) = f(6) + 4 written using a recursive formula, write the sequence using an arit
natita [175]

Answer:

Of(7) = f(1) + 24

Step-by-step explanation:

Since this Arithmetic Sequence can be written recursively as a function, then we can write the whole sequence, by adding the common difference to the previous function. So writing it as an Arithmetic formula is (placing an example, with a common difference of 4 units):

\left.\begin{matrix}n &1&2&3&4&5&6 &7\\f(n)&2&6&10 & 14&18&22&26 \end{matrix}\right|\\f(n)=f(n-1)+d\:\: (Recursive \: Formula)\Rightarrow a_{n}=a_{n-1}+4\: \: \: (Arithmetic\: Formula)\\Of(7)=f(1)+6*4\Rightarrow a_{7}=a_{1}+(7-1)4\Rightarrow a_{7}=a_{1}+24\\

6 0
3 years ago
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Can someone help me with this problem 3(x+1)=11 I need it step by step
Nataly [62]

Answer:

x = 2.66666667

Step-by-step explanation:

3(x + 1) = 11

We multiply both x and 1 by 3 and get

3x + 3 = 11

Now we subtract 3 from both sides

3x + 3 - 3 = 11 - 3

3x = 8

Now divide both sides by 3

3x/3 = 8/3

x = 2.66666667

(っ◔◡◔)っ ♥ Hope It Helps ♥

6 0
2 years ago
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