10. Marie can afford a $250 per month car payment. She's found a 5 year loan at 7% interest.

Effective interest rate = Daily interest rate = Annual interest rate/number of days per year

Annual interest rate = 11.1%
Days in a year = 365

Thus,
Effective interest rate = 11.1/365 = 0.03%.

Answer:

(1) The necessary proportion of spirit to varnish stands at 1:3.

(2) A total of 80 ml of mineral spirit is required.

(3) The ratio of the heights to the widths of the tapestries is 3:2.

Step-by-step explanation:

(1) To achieve a mixture containing 25% mineral spirit, the blend consists of 25% spirit and 75% varnish.

Therefore,

Consequently, the proportion of spirit to varnish is 1:3.

(2) Using 240ml of varnish indicates this is 75% of the entire solution, which means the ratio of varnish to the total solution is 3:4.

Let the total solution quantity be .

Thus, .

⇒

⇒

⇒

⇒

This means the total solution amounts to 320 ml.

Now, calculating Spirit = Total solution - Varnish

⇒Spirit = 320ml-240ml

⇒Spirit = 80ml

Therefore, when using 240 ml of varnish, you will require 80 ml of mineral spirit.

(3) The dimensions of Robison's tapestries are uniform at 1.5m in length and 1m in width. Initially, to obtain whole numbers, we multiply these dimensions by 10.

Thus, the dimensions become 15m long and 10m wide.

Now, the proportion of Height to Width is 15:10

⇒

⇒

Thus, the proportion of the heights of the tapestries to their widths is 3:2.

Answer:

Area of land = 0.056 hectares

Detailed explanation: Knowing that

A typical person in the country requires 2,450 kilocalories each day. This means

An individual consumes 2450 kilocalories daily

The average kcal produced per hectare (ha) from the available food in the nation is 15,737,000 kcal/ha.

Thus, in one day, for one individual, we have

15737000 = 2450/hec

Hectare = 2450/15737000

Hectare = 1.5568 × 10 -4

The total land area required to provide sufficient kilocalories for a single person for one year in this developing country will be

Calculated hectare × 365.25

Hectare = 1.5568 × 10 -4 × 365.25

Area of land = 0.056 hectares

Cost for 6 days of climbing = $10 * 6 = $60
Cost for a pair of shoes = $84
Total expenditure = $169

Thus, the cost for one harness = $169 - $(84+60)
harness = $169 - $144 = $25

Thus, the final answer is $25.

Detailed solution:

The price of solid paper is $1.75 each

Printed paper is priced at $2.50 each

Information provided:

Ben's total is $43.50 (12 rolls of solid paper and 9 rolls of printed paper)

Joel's total is $51.50 (8 rolls of solid paper and 15 rolls of printed paper)

Let x represent solid paper

Let y represent printed paper

The equations are: 12x + 9y = 43.50

 8x + 15y = 51.50

To find x:

8x + 15y = 51.50

Solving for x gives: 8x = 51.50 - 15y

Thus, x = (51.50 - 15y)/8

Next, substitute x:

12x + 9y = 43.50

Replacing x results in: 12(51.50 - 15y)/8 + 9y = 43.50

Which expands to: (618 - 180y)/8 + 9y = 43.50

Multiplying through by 8 yields: 618 - 180y + 72y = 348

Rearranging gives us: -108y = 348 - 618

This simplifies to: -108y = -270

Dividing by -108 results in: y = 2.50

Using the expression for x:

x = (51.50 - 15y)/8

Substituting y, we get: x = (51.50 - 15(2.5))/8

Thus, x = (51.50 - 37.50)/8

This simplifies to: x = 14/8

Final value is: x = 1.75

Verification: x = 1.75; y = 2.5

Substituting into the first equation: 12x + 9y = 43.50

12(1.75) + 9(2.5) = 43.50

Calculating gives: 21 + 22.50 = 43.50

This confirms: 43.50 = 43.50

Substituting into the second equation: 8x + 15y = 51.50

8(1.75) + 15(2.5) = 51.50

Calculating yields: 14 + 37.50 = 51.50

This also confirms: 51.50 = 51.50