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3 years ago

PLEASE HELP!!!!

Mathematics

2 answers:

yan [13]3 years ago

7 0

C. The area is increased by an area of 25

8x7=56
40x35=1400

1400/56=25

pshichka [43]3 years ago

5 0

Consider what the area is when a rectangle has a width of 8m and a length of 7m. The area is 8m x 7m, or 56m^2.

Now, multiple the length and width by 5 each, to produce a triangle with the dimensions of 40m and 35m. Multiply the two values together to get 1400m^2.

1400 / 56 = 25, so the area is increased by a factor of 25.

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Vsevolod [243]

Answer:

is there a picture

Step-by-step explanation:

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4 years ago

4400 dollars is placed in an account with an annual interest of 8.25%.How much will be in the account after 29 years

SOVA2 [1]

If interest is compounded annually, the account balance will be
.. 4400*1.0825^29 ≈ 43,839.13 . . . . dollars

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3 years ago

The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price

likoan [24]

Answer:

A) 3%

B) Product A

Step-by-step explanation:

Exponential Function

General form of an exponential function: $y=ab^x$

where:

a is the initial value (y-intercept)
b is the base (growth/decay factor) in decimal form
x is the independent variable
y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

Part A

Product A

Assuming the function for Product A is exponential:

$f(x) = 0.69(1.03)^x$

The base (b) is 1.03. As b > 1 then it is an increasing function.

To calculate the percentage increase/decrease, subtract 1 from the base:

⇒ 1.03 - 1 = 0.03 = 3%

Therefore, product A is increasing by 3% each year.

Part B

$\sf percentage\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100$

To calculate the percentage change in Product B, use the percentage change formula with two consecutive values of f(t) from the given table:

$\implies \sf percentage\:change=\dfrac{10201-10100}{10100}\times 100=1\%$

Check using different two consecutive values of f(t):

$\implies \sf percentage\:change=\dfrac{10303.01-10201}{10201}\times 100=1\%$

Therefore, as 3% > 1%, Product A recorded a greater percentage change in price over the previous year.

Although the question has not asked, we can use the given information to easily create an exponential function for Product B.

Given:

a = 10,100
b = 1.01
n = t - 1 (as the initial value is for t = 1 not t = 0)

$\implies f(t) = 10100(1.01)^{t-1}$

To check this, substitute the values of t for 1 through 4 into the found function:

$\implies f(1) = 10100(1.01)^{1-1}=10100$

$\implies f(2) = 10100(1.01)^{2-1}=10201$

$\implies f(3) = 10100(1.01)^{3-1}=10303.01$

$\implies f(4) = 10100(1.01)^{4-1}=10406.04$

As these values match the values in the given table, this confirms that the found function for Product B is correct and that Product B increases by 1% per year.

4 0

2 years ago

In April, The Kazbaas drove 760 miles in their tour van.

DedPeter [7]

9514 1404 393

Answer:

£135.98

Step-by-step explanation:

$(760\text{ mi})\dfrac{1\text{ gal}}{29.5\text{ mi}}\cdot\dfrac{4.55\text{ L}}{1\text{ gal}}\cdot\dfrac{\pounds1.16}{1\text{ L}}=\dfrac{760\cdot4.55\cdot\pounds1.16}{29.5}\\\\=\boxed{\pounds135.98}$

It cost £135.98 for petrol in April.

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3 years ago

Colin invests £1500 into a savings account. The bank gives 4% compound interest for the first 3 years and 5% thereafter. How muc

fomenos

1500(1+0.04)^3 = 1687.30

1687.30(1+0.05) = 1771.67 to the nearest pound: 1772

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3 years ago