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2 years ago

Natalie invests $5,000 into a savings account

Mathematics

1 answer:

natali 33 [55]2 years ago

7 0

Hence thirty two dollars , is the solution

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Express each logarithm in terms of In 2 and In 5.

Sladkaya [172]

Answer:

$5ln2-3ln5$

$2ln5-ln2$

Step-by-step explanation:

∵ $32=2^{5}$

∵ $125=5^{3}$

∵ $ln\frac{32}{125}=ln\frac{2^{5}}{5^{3}}$

∴ $ln2^{5}-ln5^{3}=5ln2-3ln5$

∵ $12.5=\frac{125}{10}=\frac{25}{2}=\frac{5^{2}}{2}$

∴ $ln12.5=ln\frac{5^{2}}{2}$

∴ $ln5^{2}-ln2=2ln5-ln2$

3 0

3 years ago

• When x = 6, which inequality is true? also what is 1,402÷37

KonstantinChe [14]

Answer:

37.8918918919

Step-by-step explanation:

1,402÷37=37.8918918919

8 0

3 years ago

A shop sells shakes for $2 and doublescoop cones for $3. One day they sold 8 more shakes than scoops, and made $156. How many sh

I am Lyosha [343]

Answer:

x = 36 and y = 28

Step-by-step explanation:

Let she sells x shakes and y doublescoop cones

One day they sold 8 more shakes than scoops, and made $156.

ATQ,

2x+3y = 156 ..(1)

Also,

x = y+8 ..(2)

Put the value of x from (1) to equation (2)

2(y+8)+3y = 156

2y+16+3y = 156

5y = 156 - 16

5y = 140

y = 28

Put the value of y in equation (2)

x = 28+8

x = 36

Hence, they will sell 36 shakes and 28 doublescoop cones.

8 0

3 years ago

Two cars leave the same place at the same time, but drive in opposite directions along a straight road. one car averages 35 mi/h

Goshia [24]

As we do not know the other cars avg speed we can not tell the answer. Please repeat the question.

6 0

3 years ago

PLEASE HELP ME ANSWER THIS FAST! REWARDING THE MOST POINTS FOR BEST ANSWER!!!!!!!!!!

uysha [10]

Answer:

$\large\boxed{\large\boxed{\$ 17.60/hour}}$

Explanation:

The profit will be the revenue less the cost.

The revenue will be the price times the number of items sold. The price is $40 the piece. Work with a piece.

Revenue = $40

The total cost of a piece is the sum of the cost of the supplies, the seller's fees and the shipping costs of a piece:

Cost of supplies: $8.00

Seller's fee: 9% of $40 = 0.09 × $40 = $3.60

Shipping costs: $2.00

Total cost = $8 + $3.60 + $2 = $13.60

Profit = Revenue - Cost = $40 - $13.60 = $26.40

To find the hourly profit you must divide the profit of a piece by the hours of labor to make a piece.

Hourly profit = $26.40/1.5hour = $17.60/hour

3 0

3 years ago