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aliina [53]
2 years ago
14

Samantha opened a savings account and deposited $8192. The account earns 10% in interest annually. She makes no further deposits

and does not withdraw any money. In t years, she has $25,710 in this account. Write an equation in terms of t that models the situation.
Mathematics
2 answers:
Leokris [45]2 years ago
4 0
The formula for this is A=P(1+r/n)^nt
Where A is the total amount. P is the principal amount. 1 represent 100%. R is the rate. N is the number for annual, quarter, or etc. T is the time given in the question. If you put the numbers that is given in the question and put it in the formula, you will have:
$25,710 = $8192(1 + 0.10/12)^12t
3.14= (1.00833333)^12t
12t= log1.00833333 3.14
t= (log1.00833333 3.14)/12
t is approximately 11.5 yrs
Usimov [2.4K]2 years ago
3 0

Answer: 8192⋅(1.10)t

Step-by-step explanation:

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2 years ago
Chris built a rectangular snow fort with a perimeter of 24 feet. The length of the fort was 8 feet less than 3 time the width. W
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2 years ago
Mr. Petrov was trying to choose between two different plans for dollhouses for his daughter. Both dollhouses have a rectangular
Dmitriy789 [7]

Answer:

(4). The space inside dollhouse 1 is 24 inches cubed greater than the space inside dollhouse 2.

As the correct equation should add up to 192 dolls house 1 and 168 for dolls house 2; 192 -168 = 24 cubed inches.

Dolls house 1 =  6(6)(5) + one thirds of 6(6) =180+ 12 =192 cubed inches.not 334 as shown in equation 1

Dolls house 2 = should be V= 6(6)5 - one third of 6(6) = 180-12 =168 cubed inches not 188 as shown in equation 2

Where all the other listed answers in question are incorrect as they add up to 334 or 188.

Step-by-step explanation:

dh1+2 rectangle = 6 x 5 x 4 = 120

Volume of triangle

V = 0.5 X b X a X h. = 0.5 x 6 x 6 x 4 = 72sq^3 + 120-sq^3 = 192sq^3

Volume of the Pyramid/rectangle dh = lwh/3

= 6x6x4=144/3=48sq^3 +  120sq^3= V = 168sq^3

Both A + B = V= 192sq^3, B=168sq^3

To calculate the volume of a triangular prism, measure the width and height of a triangular base, then multiply the base by the height by 1/2 to determine the triangle's area. Next, measure the height of the triangular prism and multiply this by the triangle's area to get the volume.

To calculate the volume of a pyramid with a rectangular base, find the length and width of the base, then multiple those numbers together to determine the area of the base. Next, multiply the area of the base by the height of the pyramid. Take that result and divide it by 3 to calculate the pyramid's volume

7 0
2 years ago
Read 2 more answers
Two trees are leaning on each other in the forest. One tree is 19 feet long and makes a 32° angle with the ground. The second tr
Flauer [41]

<em>Greetings from Brasil...</em>

We need to use the Sine Law in Any Triangle....

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SEN X = 0,62

<em>using the sine arc</em>

ARC SEN 0,62 ≈ 39

6 0
2 years ago
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