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3 years ago

A 6 foot tall fence post a 1 foot shadow. a nearby clock tower cast a 35 foot shadow. what is the height of the tower?

Mathematics

1 answer:

azamat3 years ago

3 0

6:1 ratio, 35/1 is 35, so multiply 6 by 35 to get a 210 foot tall tower with a 210:35 ratio.

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How much money must be deposited now in an

Liono4ka [1.6K]

Answer:

$\$487.48$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=10\ years\\ A=\$1,000\\ r=7.25\%=7.25/100=0.0725\\n=4$

substitute in the formula above

$1,000=P(1+\frac{0.0725}{4})^{4*10}$

$1,000=P(\frac{4.0725}{4})^{40}$

$P=1,000/(\frac{4.0725}{4})^{40}$

$P=\$487.48$

5 0

4 years ago

the fee for the parking garage at the airport is $16 for the first day plus $4.50 for each additional day. which equation repres

11111nata11111 [884]

It will be a. f=4.5d+16. Unlike the other equations. F represents the fee for the parking garage, and d represents the number of days.

6 0

3 years ago

Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will

Oksanka [162]

Answer:

Ella should add $32\dfrac{5}{6}$ lbs of water.

Total weight of syrup $33\dfrac{1}{3}$ lbs

Step-by-step explanation:

Weight:

Weight of sugar = 0.5 lbs.

Weight of water added = x lbs

Total weight = 0.5 + x lbs

Percentage:

0.5 + x -- 100%

0.5 -- 1.5%

Write a proportion:

$\dfrac{0.5+x}{0.5}=\dfrac{100}{1.5}$

Cross multiply:

$1.5(0.5+x)=0.5\cdot 100\\ \\0.75+1.5x=50\\ \\1.5x=50-0.75\\ \\1.5x=49.25\\ \\x=\dfrac{49.25}{1.5}=\dfrac{4,925}{150}=\dfrac{197}{6}=32 \dfrac{5}{6}\ lbs$

Ella should add $32\dfrac{5}{6}$ lbs of water.

Total weight of syrup

$32\dfrac{5}{6}+\dfrac{1}{2}=32\dfrac{5}{6}+\dfrac{3}{6}=33\dfrac{1}{3}\ lbs$

3 0

3 years ago

Lol suisitctftf ysyajwnw yakahad gwhnqga

Lynna [10]

Im not sure what this is, or how to answer it

4 0

3 years ago

Henry is conducting an experiment with 800 bacteria. He found the exponential growth rate to be 2.7% per hour. What is the amoun

joja [24]

Let's formulate an equation first. For exponential growth, we follow the formula. b = 800, r - 0.027. Hence,

y = 800(1+0.027)^t

Then, at t = 21, y will be determined
y = 800 (1+0.027)^21
y = 1399.81 = 1400

Thus, the amount of bacteria present after 21 hours is 1400.

8 0

4 years ago