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3 years ago

What is the area of a rectangular garden that is 60 feet by 20 feet

Mathematics

1 answer:

levacccp [35]3 years ago

7 0

Area = length * width

A = 60 * 20

A = 120 square feet

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A florist sold 12 flower bouqets yesterday, including 2 daisy bouquets. Based on past data, how many of the next 18 boquetes sol

My name is Ann [436]

Answer: 3

Step-by-step explanation:

A florist sold 12 flower bouqets yesterday, which included 2 daisy bouquets. This shows that the fraction of daisy bouquet is 2/12 = 1/6.

Therefore, if there are 18 boquetes sold, the number that's expected to be daisy bouquets will be:

= 1/6 × 18

= 3

4 0

3 years ago

Determine whether f(x)=-4(x+3)^2-5 has a maximum or a minimum value, then find that value

Leto [7]

Answer:

Yes it has

Step-by-step explanation:

From my perspective.........

f(x) = -4(x + 3)² - 5

f(x) = -4(x + 3)(x + 3) - 5

f(x) = -4(x² + 6x + 9) - 5

f(x) = -4x² - 24x - 36 - 5

f(x) = -4x² - 24x - 41

Dy/dx = -8x - 24

At minimum Dy/dx = 0

-8x - 24 = 0

-8x = 24

x = 24/-8

x = -3

At minimum

y = -4x² - 24x - 41

y = -4(-3)² - 24(-3) - 41

y = -4(9) + 72 - 41

y = -36 + 72 - 41

y = 36 - 41

y = -5

5 0

3 years ago

Helppppp me pls asp plssss

Mariulka [41]

8 pt = 4 qt
1 qt = 4 c? I think it’s asking for cups
8qt = 2 gal
4 qt = 8 pt
5 pts = 10 c
2 pts = 4 c

4 0

3 years ago

Find the amount in the bank after 7 years if interest is compounded quarterly?

qwelly [4]

Answer:

a) amount in the bank after 7 years if interest is compounded quarterly is $6,605

b) amount in the bank after 7 years if interest is compounded quarterly is $6,612.57

Step-by-step explanation:

We are given:

Principal Amount P= 5000

Rate r= 4% = 0.04

time t = 7 years

The formula used is: $A=P(1+\frac{r}{n})^{nt}$

where A is future value, P is principal amount, r is rate, n is compounded value and t is time

a) Find the amount in the bank after 7 years if interest is compounded quarterly?

If interest is compounded quarterly then n = 4

Using values given in question and finding A

$A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.04}{4})^{4*7} \\A=5000(1+0.01)^{28}\\A=5000(1.01)^{28}\\A=5000(1.321)\\A=6,605$

So, amount in the bank after 7 years if interest is compounded quarterly is $6,605

b) Find the amount in the bank after 7 years if interest is compounded monthly?

If interest is compounded quarterly then n = 12

Using values given in question and finding A

$A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.04}{12})^{12*7} \\A=5000(1+0.003)^{84}\\A=5000(1.003)^{84}\\A=5000(1.322)\\A=6,612.57$

So, amount in the bank after 7 years if interest is compounded quarterly is $6,612.57

6 0

3 years ago

Write the equation of a line that passes through the points (-8, 8) and (0, 1).

Rus_ich [418]

we are given with two points: (-8,8) and (0,1). in this case, we are asked for the equation of the line connecting the two. we first solve for the slope that is (8-1)/(-8-0) equal to 7/-8 or -7/8. We substitute to the point-slope form equation y-y1 = m (x-x1) that is y - 1 = -7/8 * x ; y = -7/8 x + 1

3 0

4 years ago