Answer:
After 19 months,value in the account will reach $3700
Step-by-step explanation:
The value of a savings account f(t) in terms of t ( number of months since account opening) is given as ![\[3,500(1.003)^{t}\]](https://tex.z-dn.net/?f=%5C%5B3%2C500%281.003%29%5E%7Bt%7D%5C%5D)
We need to determine the value of t when f(t)>=3700
Expressing it in equation form,
![\[3,500(1.003)^{t} >= 3700\]](https://tex.z-dn.net/?f=%5C%5B3%2C500%281.003%29%5E%7Bt%7D%20%3E%3D%203700%5C%5D)
![\[=>(1.003)^{t} >= \frac{3700}{3500}\]](https://tex.z-dn.net/?f=%5C%5B%3D%3E%281.003%29%5E%7Bt%7D%20%3E%3D%20%5Cfrac%7B3700%7D%7B3500%7D%5C%5D)
![\[=>(1.003)^{t} >= 1.057\]](https://tex.z-dn.net/?f=%5C%5B%3D%3E%281.003%29%5E%7Bt%7D%20%3E%3D%201.057%5C%5D)
Taking log of both sides,
![\[=>t * log(1.003) >= log(1.057)\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Et%20%2A%20log%281.003%29%20%3E%3D%20log%281.057%29%5C%5D)
![\[=>t >= \frac{log(1.057)}{log(1.003)}\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Et%20%3E%3D%20%5Cfrac%7Blog%281.057%29%7D%7Blog%281.003%29%7D%5C%5D)
![\[=>t >= 18.51\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Et%20%3E%3D%2018.51%5C%5D)
So t = 19.
Answer:
After 10 years the investment A will be bigger than investment B.
Step-by-step explanation:
In Investment A, 50 increases each year by 8% and in investment B, 60 increases by 3 each year.
If after x years the investment A will be equal to investment B, then we can write the equation as

⇒ 50 + 4x = 60 + 3x
⇒ x = 10
Therefore, after 10 years the investment A will be bigger than investment B. (Answer)
Answer:
q(x) = 0.005 (x - 40)∧2 + 70
Step-by-step explanation:
If you mean with "up" that function is translated along the y axis
in that case the correct answer is:
q(x) = 0.005 (x - 40)∧2 + 70
God with you!!!
Answer:
D. 2
Step-by-step explanation:
She can make 52 muffins, so she can also make 24, or 2 dozen.
<h2><u><em>
PLEASE MARK AS BRAINLIEST!!!!!</em></u></h2>
9514 1404 393
Answer:
(d) A = 18 units²
Step-by-step explanation:
Line CE can be considered to be the base of two triangles. It is 6 units long. The upper triangle is 4 units high, and the lower triangle is 2 units high. The formula for the area of a triangle is ...
A = 1/2bh
Then the sum of the areas of the two triangles is ...
A = 1/2(6)(4) +1/2(6)(2) = 12 +6 = 18
The area of the polygon is 18 square units.