Rich deposited money into a bank account that earned 2.5% simple interest each year. After 2 years, he had earned $14.65 in interest on the account. If no other money was deposited into or withdrawn from the account, how much was his initial deposit?

Answer:

To sum 37+58 mentally, we could first sum 30+50=80 and then sum the units, 80+7+8= 95.

But, if we have to show properties, we could separate first the numbers:

30 + 7 + 50 + 8.

Then, we apply commutative property to position like numbers aside:

30+50+7+8

Then, we apply associate property, to have a better order of the operation, which is easier to the mind:

(30+50) + (7+8)

Then, we sum each group:

80 + 15

At last, we sum again and have the result:

80+15=95.

The factored form of the expression 16a + 10 is 2(8a + 5).

To factor the expression 16a + 10, we can divide each term by the greatest common factor (GCF) of the expression.

The GCF of 16a and 10 is 2, so we can divide each term by 2 to get:

16a + 10 = 2(8a + 5)

Therefore, the factored form of the expression 16a + 10 is 2(8a + 5).

To maintain an equivalent ratio of sugar to milk when increasing a recipe, multiply both the sugar and milk amounts by the same factor. For example, multiplying by 5 results in a ratio of 15 tablespoons of sugar to 10 tablespoons of milk.

If Mark is using a ratio of 3 tablespoons of sugar to 2 tablespoons of milk in a recipe and decides to increase the recipe, we need to maintain the same ratio for any quantity. An equivalent ratio can be found by multiplying both parts of the original ratio by the same number. For example, if Mark wanted to double the recipe, he would use 6 tablespoons of sugar and 4 tablespoons of milk (3 x 2 = 6 and 2 x 2 = 4), keeping the same ratio of 3:2.

To increase the recipe to any desired amount, Mark could use a conversion factor. For instance, if the original recipe makes 1 batch and Mark wants to make 5 batches, he multiplies both parts of the ratio by 5. The new ratio would be 15 tablespoons of sugar to 10 tablespoons of milk, as 3 x 5 = 15 and 2 x 5 = 10. This maintains the sweetness and consistency of the recipe across a larger volume.

Answer : The ratio represents the number of votes for hot dogs to chicken is, [tex]\frac{2}{5}[/tex]

Step-by-step explanation : Given,

Number of members voted for pizza = 6

Number of members voted for chicken = 10

Number of members voted for hot dogs = 20 - (10 +6) = 4

Now we have to determine the ratio represents the number of votes for hot dogs to chicken.

[tex]\frac{\text{Number of members voted for hot dogs}}{\text{Number of members voted for chicken}}=\frac{4}{10}[/tex]

[tex]\frac{\text{Number of members voted for hot dogs}}{\text{Number of members voted for chicken}}=\frac{2}{5}[/tex]

Thus, the ratio represents the number of votes for hot dogs to chicken is, [tex]\frac{2}{5}[/tex]

Answer:

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

To represent the number of gallons of water in the tub after x minutes, the equation y = 30 - 6x can be used.

The question asks us to write an equation that represents the number of gallons of water in the tub after a certain number of minutes. Let's break down the information given:

We can use this information to find the rate at which the bathtub is draining. To do this, we'll subtract the amount of water after 5 minutes from the amount after 2 minutes to get the change in water: 30 gallons - 12 gallons = 18 gallons. This means the tub is draining 18 gallons over a span of 3 minutes, which is equivalent to a rate of 6 gallons per minute.

Now, we can write the equation that represents the number of gallons of water in the tub after x minutes. Let y represent the number of gallons, and x represent the number of minutes. We can use the equation y = 30 - 6x, where 30 is the initial amount of water in the tub at 2 minutes, and 6x is the amount of water drained over x minutes at a rate of 6 gallons per minute.

Final answer:

Michelle used 70 beads to make her 14-inch long necklace, as determined by solving the equation 1/7b + 4 = 14 and isolating the variable b.

Explanation:

The question asks us to solve for the number of beads, b, in a necklace that is 14 inches long. The equation given is 1/7b + 4 = 14. We need to solve for b.

To solve for b, we first subtract 4 from both sides of the equation to get 1/7b = 10. Next, we multiply both sides by 7 to isolate b on one side of the equation, which gives us b = 70. Therefore, Michelle used 70 beads for her necklace.

Answer:

What the ratio tells us is that for every 2 inches that fall in January, 5 are predicted to fall for the entire winter.

For this problem we can cross multiply (if you haven't done this yet, just let me know and i can edit this answer to do the problem a different way)

We set the equation up to compare the two ratios with X representing the predicted total snowfall

Now, we multiply the value on the top of the first fraction by the value on the bottom of the second fraction and vice versa

2X=5*34

Now, we can simplify

2X=170

Now, we can divide by 2 on both sides in order to get X alone

X=85

So, the predicted snowfall for the winter is 85 inches

Final answer:

Drawing a model to show the relationship between feet and inches involves using the conversion factor between these units (1 foot = 12 inches) and applying scales for practical conversions, such as the examples of Asharah and Kenya's model cars, which translate real-life measurements into manageable sizes for scale models.

Explanation:

To draw a model that shows the relationship between feet and inches, particularly in the context of scale models as mentioned in the examples of Asharah and Kenya's model cars, you would first identify the conversion factor between feet and inches, which is 1 foot equals 12 inches. The scales given for the models represent this relationship in a condensed form tailored to small, manageable models of larger objects.

These examples illustrate how to create a simple model or drawing that demonstrates the relationship between two different units of measurement by using scale factors.

The area of a rectangular room is 143 square feet.

To find the area of a rectangular room, we multiply the length by the width.

However, since the measurements are given in different units (feet and inches), we need to convert them to the same unit first.

Convert the width from inches to feet.

Since there are :

12 inches= 1 foot, we divide 132 inches by 12:

132 inches ÷ 12

= 11 feet

Now we have the dimensions in feet:

13 feet (length) by 11 feet (width).

Calculate the area by multiplying the length by the width:

Area = 13 feet × 11 feet

= 143 square feet

Therefore, the area of the room is 143 square feet.

Answer:

A.

disagreements between the French and British over land claims and the fur trade

Step-by-step explanation:

took the test(k12)

Answer:

Step-by-step explanation:

C+2d

The product of the missing number (4,230) is 2,115,000

Therefore let the missing number be X

Hence,

X = 42300 ÷ 10

X = 42300 / 10

X = 4,230

Therefore the missing number is 4230.

Recall, we are to find the product 4230 and 500. This process require that we multiply 4230 and 500.

Therefore, let the product of 4,230 and 500 be P

P = 4230 x 500

P = 2,115,000

Hence, the product of the missing number (4230) and 500 is 2,115,000.

The above math problem deals with numbers, and was solved with the aid of division and multiplication, which are functions of an order of operations known as BODMAS.  

Division deals with splitting or dividing numerical values into different equal parts or groups. Multiplication on its part is the repeated adding of several numbers to derive a final numerical value.

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