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2 years ago

Amir drove from Jerusalem to the lowest place on Earth, the Dead Sea.

Mathematics

2 answers:

andrey2020 [161]2 years ago

7 0

Answer: The answer is 8 minutes

Step-by-step explanation:

I just did it on khan academy

Jlenok [28]2 years ago

3 0

Answer:

8 mins

Step-by-step explanation:

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What is the smallest positive prime factor of 2017^2019 +2019^2017

kogti [31]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

(b) The train is 61 cm long and travels at a speed of 18 cm/s.

xz_007 [3.2K]

Answer:

It goes 18 cm every second:

18 x 4 = 72 cm

The bridge is 72 cm long.

Hope this helps!

3 0

2 years ago

Read 2 more answers

lucas divides his pizza into three equal pieces for himself and his two friends. his friend teddy eats 5/8 of his piece for lunc

Marina CMI [18]

Answer:

He ate $\frac{1}{20}$ of the original pizza for dinner

Step-by-step explanation:

- Lucas divides his pizza into three equal pieces for himself and his two

friends

∵ There are 1 pizza

∵ It is divided into 3 equal parts

∴ Each part is $\frac{1}{3}$

∴ Teddy takes $\frac{1}{3}$ of the pizza

- Teddy eats $\frac{5}{8}$ of his piece for lunch and a further $\frac{2}{5}$ of what

remains for dinner

∵ His piece is $\frac{1}{3}$

∵ He eats $\frac{5}{8}$ of his piece for lunch

∴ He eats for lunch = $\frac{5}{8}$ × $\frac{1}{3}$ = $\frac{5}{24}$

- Let us find the remaining of his piece for dinner

∵ The remaining = $\frac{1}{3}$ - $\frac{5}{24}$

- Make L.C.M for the denominators

∵ The L.C.M of 3 and 24 is 24

∵ $\frac{1}{3}$ = $\frac{1*8}{3*8}$ = $\frac{8}{24}$

∴ The remaining = $\frac{8}{24}$ - $\frac{5}{24}$

∴ The remaining = $\frac{3}{24}$ = $\frac{1}{8}$

∵ He ate $\frac{2}{5}$ of the remaining for dinner

∵ The remaining of his piece = $\frac{1}{8}$

∴ He ate for dinner ⇒ $\frac{2}{5}$ × $\frac{1}{8}$

∴ He ate for dinner ⇒ $\frac{2}{40}$ = $\frac{1}{20}$

* He ate $\frac{1}{20}$ of the original pizza for dinner

8 0

2 years ago

1. You are saving to buy a new house in 7 years. If you invest $4,500 now at 5.5% interest compounded

motikmotik

Answer:

Part 1) $\$6,595.94$

Part 2) $\$3,449.23$

Part 3) $\$17,040.06$

Part 4) $\$20,773.90$

Part 5) The Option A is the best way to invest the money by $4,223.94 than Option B

Step-by-step explanation:

Part 1)

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

$t=7\ years\\ P=\$4,500\\ r=5.5\%=5.5/100=0.055\\n=4$

substitute in the formula above

$A=4,500(1+\frac{0.055}{4})^{4*7}$

$A=4,500(1.01375)^{28}$

$A=\$6,595.94$

Part 2)

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

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

e is the mathematical constant number

we have

$t=2\ years\\ P=\$3,200\\ r=3.75\%=3.75/100=0.0375$

substitute in the formula above

$A=3,200(e)^{0.0375*2}$

$A=\$3,449.23$

Part 3)

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

$t=18\ years\\ A=\$40,000\\ r=4.75\%=4.75/100=0.0475\\n=12$

substitute in the formula above

$40,000=P(1+\frac{0.0475}{12})^{12*18}$

$40,000=P(\frac{12.0475}{12})^{216}$

$P=40,000/[(\frac{12.0475}{12})^{216}]$

$P=\$17,040.06$

Part 4)

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

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

e is the mathematical constant number

we have

$t=7\ years\\ A=\$30,000\\ r=5.25\%=5.25/100=0.0525$

substitute in the formula above

$30,000=P(e)^{0.0525*7}$

$30,000=P(e)^{0.3675}$

$P=30,000/(e)^{0.3675}$

$P=\$20,773.90$

Part 5)

Option A

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

$t=8\ years\\ P=\$11,500\\ r=5.6\%=5.6/100=0.056\\n=2$

substitute in the formula above

$A=11,500(1+\frac{0.056}{2})^{2*8}$

$A=11,500(1.028)^{16}$

$A=\$17,889.07$

Option B

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

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

e is the mathematical constant number

we have

$t=5\ years\\ P=\$11,500\\ r=3.45\%=3.45/100=0.0345$

substitute in the formula above

$A=11,500(e)^{0.0345*5}$

$A=11,500(e)^{0.1725}$

$A=\$13,665.13$

Compare the options

Option A ------> $\$17,889.07$

Option B -----> $\$13,665.13$

Option A > Option B

Find out the difference

$\$17,889.07-$13,665.13=$4,223.94$

therefore

The Option A is the best way to invest the money by $4,223.94 than Option B

3 0

2 years ago

Two thirds of a straight angle

solniwko [45]

Answer:

Two thirds of a straight angle is 120°

Explanation:

First, we start by defining the straight angle:

A straight angle is an angle whose measure is 180°

Now, we want to calculate two thirds of a straight angle

To get that fraction, we will multiply the measure of the straight angle by $\frac{2}{3}$

This means that:

$\frac{2}{3}$ of a straight angle = $\frac{2}{3} * 180 = 120$ degrees

Hope this helps :)

4 0

2 years ago