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4 years ago

Write an exponential function of the form y=ab^x whose graph passes through the given points.

1 answer:

8 0

$We\ substitude\ points\ into \ formula:\\ y= ab^{x}\\\{ {{4=ab^1} \atop {12=ab^2}} \right. |Substitude\ a= \frac{4}{b} \ from\ first \ equation\\12= \frac{4}{b}*b^2\\
12=4b|:4\\ 
b=3\\a= \frac{4}{3} \\
y=4^x$

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Help plz I really don’t know what to do

castortr0y [4]

Answer:

If they have the same variable you add or subtract them.

Step-by-step explanation:

3 0

3 years ago

A sum of money is placed at simple interest for 3 years at 10% annum and then the amount is invested for 3 years at the same rat

fgiga [73]

Answer:

Initial principal -$300,000

Investment amount after yr 3-$390,000

Final investment amount, after 6 yrs-$519,090

Step-by-step explanation:

Let X be the amount initially invested.

#The amount after 3 yrs of simple interest is calculated as:

$I=PRT\\\\A=P+I\\\\A=X+X\times 0.1\times 3\\\\A=1.3X$

#The amount after 5 yrs is calculated by compounding the amount after 3 yrs for 2 yrs at 10%:

$A=P(1+i)^2\\\\471900=1.3X(1.1)^2\\\\471900=1.573X\\\\X=300000$

Hence, the amount initially invested as $300,000

#Amount of invested after 6 yrs is therefore:

$A=P(1+i)^n\\\\=471900\times1.1\\\\=519090$

Hence, the total amount of the investment after 6 yrs is $519,090

#Substitute X in simple interest equation to find amount after 3 yrs of simple interest:

$I=PRT\\\\A=P+I\\\\A=X+X\times 0.1\times 3\\\\A=1.3X\\\\=1.3\times 300000\\\\=390000$

Hence, the total amount of the investment after first 3 yrs is $390,000

3 0

4 years ago

Which pairs of polygons are congruent?

svetlana [45]

The <em><u>correct answer</u></em> is:

pairs 1 and 3

Explanation:

Congruent figures are the same size and the same shape.

Pair 1 has two polygons that are the same size and same shape; they are congruent.

Pair 2 has two polygons that are not the same size; the "stick" of the t shape of one figure is longer than the "stick" of the second figure.

Pair 3 has two polygons that are the same size and same shape; they are congruent.

Pair 4 has two polygons that are the same shape, but the first figure in green is larger than the second shape in red; this means they are not congruent.

3 0

3 years ago

Read 2 more answers

What is the area of a rectangle with vertices (-8, -2), (-3,-2), (-3,-6), and (-8. -6)?

noname [10]

Answer:

31 square units

8 0

3 years ago

Read 2 more answers

The shipping box has a length of 30 inches and a height of 6 inches. How wide should the box be to fit the 36-inch bat? Show and

irinina [24]

Answer:

width = 18.97 inches

Step-by-step explanation:

To find the smallest width of the box to fit the bat, we need to put the bat in the diagonal of the box.

The diagonal of the box is given by:

diagonal^2 = length^2 + width^2 + height^2

Then, using the diagonal = 36 inches, length = 30 inches and height = 6 inches, we have:

36^2 = 30^2 + width^2 + 6^2

1296 = 900 + width^2 + 36

width^2 = 360

width = 18.97 inches

6 0

3 years ago