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STatiana [176]
3 years ago
13

What is the total cost for an item that costs 26.50 and has a sales tax rate of 6%

Mathematics
1 answer:
Zarrin [17]3 years ago
3 0
$27.83 I'm pretty sure.
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Estimate 23,945 + 46,718 by rounding to the highest place value.
kolbaska11 [484]
The highest place value is in the ten thousand for both of these numbers. Let's round the two numbers first, and then we will add them. Let's round 23,945. So, we need to round to the ten thousand place, so we look at the number behind it (3) and act accordingly.
Remember:
5 or more? Raise the Score
4 or less? Let it Rest
We are looking at the bolded number: 23,945. This number is 4 or less, so we let it rest. So, the new rounded number is 20,000. 
Now let's look at 46,718. So, we need to round to the ten thousand place, so we look at the number behind it (6) and act accordingly. Look at the bolded number: 46,718. This number is 5 or more, so we raise the score. The new rounded number becomes 50,000.
Now, all you have to do is add 20,000+50,000, which is 70,000. Hope this helped!
4 0
3 years ago
If a:b= 2:5 and b:c=4.3, what is the ratio of a:c?
vladimir2022 [97]
I got 5:3 and 8:15 Try at least the 5:3 because I got right
5 0
3 years ago
A linear function and an exponential function are graphed below. Find possible formulas for the functions f(t), in blue, and g(t
Zielflug [23.3K]

Answer:

f(t) = -t + 21

g(t) = 18*e^( - t / 12 + 1/4 )

Step-by-step explanation:

Given:

- The graphs for the similar question is attached.

- The same graph would be used as reference but with different coordinates for point of intersection of f(t) and g(t) @ ( 3 , 18 ) & ( 15 , 6 ).

Find:

- The formulas for functions f(t) and g(t).

Solution:

- First we will determine f(t) the blue graph which is a "linear" function. The general equation for the linear function is given as:

                                    f(t) = m*t + c

Where, m: is the gradient  ( constant )

            c: The f(t) intercept. ( constant )

- The gradient m can be determined by the given points that lie on the graph:

                         m = ( f(t2) - f(t1) ) / ( t2 - t1 )

                         m = ( 6 - 18 ) / ( 15 - 3 )

                         m = -12 / 12 = -1

- The constant c can be evaluated by using any one point and m substituted back into the linear expression as follows:

                          f(t) = -t + c

                          18 = -(3) + c

                           c = 21

- The function f(t) is as follows:

                            f(t) = -t + 21

- The general expression for an exponential function can be written as:

                           g(t) = a*e^(b*t)

Where, a and b are constants to be evaluated.

- We will develop two expressions for g(t) using two given points that lie on the curve as follows:

                           18 = a*e^(3*b)

                           6 = a*e^(15*b)

- Divide the two expressions we have:

                           3 = e^( 3b - 15b )

                           Ln(3) = -12*b

                           b = - Ln(3) / 12

- Then the expression 1 becomes:

                          18 = a*e^( - Ln(3)*3 / 12)

                          18 = 3*a*e^(-1/4)

                           6 = a / e^(0.25)

                           a = 6*e^( 1 / 4 )

- The function g(t) can be expressed as:

                          g(t) = 18*e^( - t / 12 + 1/4 )

3 0
3 years ago
James measured a piece of construction paper to be 6 3/4 inches wide and 9 2/3 inches long. What is the area of the piece of con
ivolga24 [154]

Answer:

The area of the piece of construction paper is \frac{261}{4} inches^2

Step-by-step explanation:

Length of construction paper =6 \frac{3}{4} inches

                                                 =\frac{27}{4} inches

Width of construction paper = 9 \frac{2}{3} inches

                                              = \frac{29}{3} inches

Area of construction paper =Length \times Width

Area of construction paper = \frac{27}{4}  \times \frac{29}{3}

                                             = \frac{261}{4} inches^2

Hence the area of the piece of construction paper is \frac{261}{4} inches^2

7 0
3 years ago
12% of what number is 42?
Andreyy89

Answer:

350

Step-by-step explanation:

12% = 0.12

42 / 0.12 = 350

3 0
3 years ago
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