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3 years ago

Factorise fully 3 x + 15

Mathematics

1 answer:

lubasha [3.4K]3 years ago

5 0

Answer:

3(x+5)

Step-by-step explanation:

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Help me! i have 20 minutes

KIM [24]

Your on your own.. :/

5 0

3 years ago

Kelly plants 45 tulips in 30 minutes what is the unit rate?

Natasha_Volkova [10]

Answer:

1.5 per minute

Step-by-step explanation:

unit rate is how many in 1 minute so 45 divided by 30 is 1.5 and if you want to check your answer do 1.5 x 30 which is 45

7 0

3 years ago

In France gasoline is 2.096 per liter. There are 3.78541178 liters per gallon. If the Euro is trading at 1.762 then the equivale

Lana71 [14]

Answer:

equivalent price/ gallon = 13.98 US$ / gallon

Step-by-step explanation:

Assuming that the exchange rate is 1.762 US$ /€ , then

thus

equivalent price/ gallon = liters/gallon * euros / liter * dollars/euro

equivalent price/ gallon = 3.78541178 liters/ gallon * 2.096 € /liter * 1.762 US$ /€ = 13.98 US$ / gallon

equivalent price/ gallon = 13.98 US$ / gallon

if the actual price would be different from the equivalent , then there would be an arbitrage opportunity ( profit with no risk)

4 0

4 years ago

How long will it take for $2500 to double if it is invested at 6% annual interest compounded 6 times a year? Enter exact calcula

12345 [234]

Answer:

Part 1) $t=11.610\ years$

Part 2) $t=11.552\ years$

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

$A=\$5,000\\P=\$2,500\\ r=6\%=6/100=0.06\\n=6$

substitute in the formula above

$5,000=2,500(1+\frac{0.06}{6})^{6t}$

$2=(1.01)^{6t}$

Apply log both sides

$log(2)=log[(1.01)^{6t}]$

$log(2)=(6t)log(1.01)$

solve for t

$t=log(2)/[6log(1.01)]$

$t=11.610\ years$

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

$A=\$5,000\\P=\$2,500\\ r=6\%=6/100=0.06$

substitute in the formula above

$5,000=2,500(e)^{0.06t}$

$2=(e)^{0.06t}$

Apply ln both sides

$ln(2)=ln[(e)^{0.06t}]$

$ln(2)=(0.06t)ln(e)$

$ln(2)=(0.06t)$

$t=ln(2)/(0.06)$

$t=11.552\ years$

3 0

3 years ago

Given: 8-2y – 3y -9=-11<br> Prove: y = 2

astraxan [27]

Step 1: group Y on left side
(-2 - 3)y = -5y

step 2: group constants on left side
8 - 9 = -1

step 3: form modified equation
-5y - 1 = 11

step 4: group constants
-5y - 1 + 1 = -11 + 1

step 5: cancel 1 on left side
-5y = -10

step 6: divide each side by -5
-5y/-5 = -10/-5

answer: y = 2

3 0

3 years ago