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mart [117]
3 years ago
15

3a+3b-------- 12 please answer​

Mathematics
2 answers:
babymother [125]3 years ago
8 0

Answer:

3(a+b)

Step-by-step explanation:

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vova2212 [387]3 years ago
6 0
3 (a+b) that’s the answer
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The equation Upper A left parenthesis t right parenthesis equals 2000 e Superscript 0.055 t gives the balance after t years of a
Pachacha [2.7K]

Answer:

a) Rate of change of amount

A'(t) =110e^{0.055t}

b) &170.79

c) 0.21

Step-by-step explanation:

We are given the following in the question:

The balance is given by the equation:

A(t) =- 2000e^{0.055t}

where t is the time in years and the initial investment is $2000 when compounded continuously.

a) Rate of change of amount

\dfrac{d(A(t))}{dt} = \dfrac{d}{dt}(2000e^{0.055t})\\\\\dfrac{d(A(t))}{dt} = 2000e^{0.055t}\times 0.055\\\\\dfrac{d(A(t))}{dt} =110e^{0.055t}

b) We have to find the value of A'(8)

A'(t) =110e^{0.055t}\\A'(8) = 110e^{0.055(8)} = 170.79

Interpretation:

The future value of 9 year investment of $2000 will be $170.79 more than the future value of 8 year investment.

c) Comparison

Approximation = $171

Actual change = $170.79

Difference =

\text{Approximation - Actual change}\\=171 - 170.79\\=0.21

Thus, the error is 0.21

4 0
3 years ago
PLZZZZZ ANSWER ASAPPPPP 1. Calculate the unit rate: 324.8 meters in 28 seconds
Nitella [24]
Unit Rate = 11.6 meters per second.

324.8/28= 11.6
8 0
3 years ago
2. Vectors u and v are given by: u=5i-4j+ pk v=2i+tj-3k (a) Express p in terms of t when u and v are perpendicular. ​
Sindrei [870]

If u and v are perpendicular, then their dot product is zero:

\vec u \cdot \vec v = (5\,\vec\imath-4\,\vec\jmath+p\,\vec k) \cdot (2\,\vec\imath+t\,\vec\jmath - 3\,\vec k) = 10 - 4t - 3p = 0

Solve for p :

10 - 4t - 3p = 0

3p = 10 - 4t

\boxed{p = \dfrac{10-4t}3}

6 0
2 years ago
Adam plans to choose a video game from a section of the store where everything is 75%
Minchanka [31]

Answer:

Look below

Step-by-step explanation:

In Adam's expression, d represents the original price of the game. 0.75d represents 75% of the original price; this is the amount of the discount, since everything is 75% off.  Taking the difference of the original price and the discount, d-0.75d, gives us the total price of the game. In Rena's expression, 0.25 represents 25%.  This is because taking 75% off of the price means we still pay 100-75 = 25% of the original price. Multiplying the original price, d, by the 0.25, gives us 25% of the original price; this is the total price.

6 0
3 years ago
2. The population of Small Town, Alabama was 13,128 in 1990 but the town is growing at a rate
belka [17]

Answer i've done the math multiple times and everytime i get the answer 21,950. i don't think i'm doing the math wrong, maybe try asking the teacher or whoever is the one grading it cause it could be a typo or something like that.

Step-by-step explanation:

7 0
4 years ago
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