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.
4) 41% of 78 is what?
Answer = 31.98
Work:
x = 41/100 x 78
x = 3198/100
x = 31.98
6) 58% of what is 63.4?
The number is = 109.31
Explanation:
Let the number be = x
58/100 (x) = 63.4
x = 63.4 x (100/58)
x = 6340/58
x = 109.31
Pizzas are circles. Area of circles is (pi)r^2.
Then find the cost per in.^2
Smallest cost per in.^2 is better buy.
"The box plot tells us about the lower limit, first quartile, median, third quartile, and upper limit.
Step-by-step explanation:
Box plot:
It displays the five-number summary of a set of data. The five-number summary is the lower limit, first quartile, median, third quartile, and upper limit. We draw a box in a box plot from the first quartile to the third quartile. A vertical line goes through the box which represents the median. Anything that lies beyond the upper limit or the lower limit is know as an outlier.
From the information given, we can say that:
The left-most point on the plot is 20 and the right-most point is 95 which means 20 and 95 are the lower and upper limit respectively. The box is labeled 35 on the left edge and 60 on the right edge which means 35 is the first quartile and 60 is the the third quartile. A vertical line is drawn inside the rectangle at the point 55 which means 55 is the median of given data. We cannot know about the mean of data with the given information."
(this is kind of an answer, I hope it's helpful)
Answer:
The division model is 15 ÷ 3
Step-by-step explanation:
Required
Interpret the division model
A division model is of the form: Dividend ÷ Divisor
In the attached figure (in the question), there are 5 vertical partitions.
This vertical partitions represents the result of the model
Also from the question attachment;
The horizontal partitions on the left, if traced to the right side of the diagram means that each vertical partition is divided into 3 and this represents the divisor of the model.
So, we have:
To get the quotient of the model, I'll make use of my attached file.
Counting the number of boxes, we can see that there are 15 boxes in total.
So, we have:
<em>Hence, the division model is: 15 ÷ 3</em>
