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kirill [66]
3 years ago
5

The amount of money in a savings account after t years is represented by the function f(t)=3600(1.035)t .

Mathematics
2 answers:
Nataly_w [17]3 years ago
8 0
I think that I had this question a while back, I’m pretty sure the answer is C
timama [110]3 years ago
5 0

Answer:  The initial amount in the account = $3600

Step-by-step explanation:

Since we have given that

The amount of money in a savings account after t years is represented by the function

f(t)=3600(1.035)^t

As we know the formula "Compound Interest" :

Amount=P(1+\frac{r}{100})^t\\\\Here,\\\\\text{ P denotes principal}\\\\\text{ R denotes Rate of interest}\\\\\text{ T denotes time}

So, According to our question,

Rate of interest = 0.35 = 35%

So, equate the both the equations , we get that

Hence, The initial amount in the account = $3600

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3 years ago
A 10-ft vertical post casts a 14-inch shadow at the same time a nearby cell phone tower cast a 119-ft shadow. How tall is the ce
Yakvenalex [24]

Answer:

The cellphone towers height is 1020 ft.

Step-by-step explanation:

This question is solved using proportions, by a rule of three.

A 10-ft post casts a 14-inch shadow.

Each feet has 12 inches, which means that a post with 10 feet will cast a 14/12 = 1.167 ft shadow. How tall is the cell-phone tower with a 119-feet shadow?

10 feet post - 1.167 ft shadow

x feet tower - 119 feet shadow

Applying cross multiplication:

1.167x = 10*119

x = \frac{1190}{1.167}

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The cellphone towers height is 1020 ft.

8 0
3 years ago
She needs 3/4 cup of water she needs 10 more servings what's the answer A 1/1/5 b 3/1/4 c 7/2/4 d 8/2/3
Eddi Din [679]
<h2><u>Corect option</u> :</h2>

= \color{plum}\tt(C) 7 \frac{2}{4}

<h2><u>Answer with steps</u> :</h2>

Quantity of water she needs = \tt \frac{3}{4} \:  cup

Number of servings she needs = 10

Number of cups of water she will need :

= \tt \frac{3}{4} \:   \times 10

=  \tt\frac{30}{4}

=\tt  7\frac{2}{4} \:  cups

Thus, she needs \tt  7\frac{2}{4} \:  cups of water.

Therefore, the correct option is \color{plum}\tt(C) 7 \frac{2}{4}

7 0
3 years ago
The measures of 5 of the Interior angles of a hexagon are: 115.125", 85", 150", and 170". What is the measure of the
levacccp [35]

The measure of the  largest exterior angle of hexagon is 105

<u>Solution:</u>

Given, The measures of 5 of the Interior angles of a hexagon are: 115.125", 85", 150", and 170".  

We have to find what is the measure of the largest exterior angle?  

Now let us find the 6th interior angle,  

We know that, sum of interior angles of hexagon = 720 degrees

115 + 125 + 85 + 150 + 170 + 6th angle = 720

645 + 6th angle = 720  

6th angle = 720 – 645  

6th angle = 75 degrees

Now we have to find the largest exterior angle, we know that, the complement of largest exterior angle will be smallest interior angle.

So, here smallest interior angle is 75  

sum of interior and exterior angle equals to 180

Hence interior angle + exterior angle =180

Then, 75 + exterior angle = 180  

Exterior angle = 180 – 75 = 105.  

Hence, exterior angle is 105 and 1st option is correct.

4 0
3 years ago
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