Q: Write the name of the period that has the digits 913.

The correct answer is: the ones (units) period. Explanation and steps: Definition of a period: In place-value notation, digits are grouped into periods of three (starting from the right). The standard period names from right to left are: Ones (units) period — rightmost three digits Thousands period — next three digits to the left Millions period — the next three digits Billions period — next three, and so on. How to decide: Find the group of three digits and see where it sits from the right end of the whole number. The rightmost group is the ones period; the second group from the right is the thousands period; the third is the millions period. Apply to 913: If the group "913" is the rightmost (end) group of the number (for example: 12,345,913), then 913 is in the ones (units) period. If the group "913" appears as the second group from the right (for example: 913,245), then 913 would be in the thousands period (meaning 913 thousand). If it appears as the third group from the right (for example: 1,913,000,000), it would be in the millions period, etc. Examples: 913 → 913 is the ones period. 913,245 → the left group 913 is the thousands period (913 thousands). 12,345,913 → the rightmost 913 is the ones period (913 units). Summary:By default, when you see the digits 913 as the rightmost three-digit group, the period name is ones (units). If those three digits occur in other group positions, their period name changes accordingly (thousands, millions, etc.).

Q: How many inches are in 13 cm?

The correct answer is: $\dfrac{650}{127}\text{ in} \approx 5.1181\text{ in}$ Explanation Convert centimeters to inches using $1\text{ in} = 2.54\text{ cm}$. Divide 13 cm by 2.54 cm per inch to get inches. Steps: First step: $$1\text{ in} = 2.54\text{ cm}$$ Second step: $$x = \frac{13\text{ cm}}{2.54\text{ cm/in}}$$ Final step: $$x = \frac{13}{2.54}\text{ in} = \frac{650}{127}\text{ in} \approx 5.1181\text{ in}$$ Therefore, 13 cm is about $5.1181\text{ in}$ (approximately $5.12\text{ in}$ when rounded to three significant figures).

Q: What is -20 Celsius in Fahrenheit?

The correct answer is: $-4\text{ °F}$ Explanation To convert Celsius to Fahrenheit use the formula $F = C \times \frac{9}{5} + 32$. Steps: Formula: $$F = C \times \frac{9}{5} + 32$$ Substitute $C = -20$: $$F = -20 \times \frac{9}{5} + 32$$ Compute: $$F = -36 + 32 = -4\text{ °F}$$ Therefore, $-20^\circ\text{C}$ equals $-4\text{ °F}$.

Q: what is 5 feet, 2 inches in meters

The correct answer is: $1.5748\text{ m}$ Explanation You convert feet and inches to meters by first converting everything to inches, then to centimeters (using $1\text{ in}=2.54\text{ cm}$), and finally to meters. Steps: Convert feet to inches: $$5\text{ ft}=5\times12=60\text{ in}$$ Add the extra inches: $$60\text{ in}+2\text{ in}=62\text{ in}$$ Convert inches to centimeters: $$62\times2.54=157.48\text{ cm}$$ Convert centimeters to meters: $$157.48\text{ cm}=\frac{157.48}{100}\text{ m}=1.5748\text{ m}$$ Rounded answers: about $1.575\text{ m}$ (to three decimal places) or $1.57\text{ m}$ (to two decimal places).

Question

Andrea Apple opened Apple Photography on January 1 of the current year. During January, the following transactions occurred and were recorded in the books: 1. Andrea invested 13,500 cash in the business. 2. Andrea contributed 20,000 of photography equipment to the business. 3. The company paid 2,100 cash for an insurance policy covering the next 24 months. 4. The company received 5,700 cash for services provided during January. 5. The company purchased 6,200 of office equipment on credit. 6. The company provided 2,750 of services to customers on account. 7. The company paid cash of 1,500 for monthly rent. 8. The company paid 3,100 on the office equipment purchased in transaction #5 above. 9. Paid $275 cash for January utilities. Based on this information, the balance in the cash account at the end of January would be: Multiple Choice

Accepted Answer

Answer: $12,975

Explanation: To find the balance in the cash account at the end of January, we need to consider all cash inflows and outflows. This involves adding any cash received and subtracting any cash paid out.

Steps:

Initial Cash Investment:

Andrea invested $13,500 cash.
Cash inflow: $13,500

Cash Received for Services:

The company received $5,700 for services.
Cash inflow: $5,700

Cash Paid for Insurance:

The company paid $2,100 for an insurance policy.
Cash outflow: $2,100

Cash Paid for Rent:

The company paid $1,500 for monthly rent.
Cash outflow: $1,500

Cash Paid for Office Equipment:

The company paid $3,100 for office equipment.
Cash outflow: $3,100

Cash Paid for Utilities:

Paid $275 for January utilities.
Cash outflow: $275

Calculate the Net Cash Balance:

$$
   \text{Net Cash Balance} = (\text{Initial Cash} + \text{Cash Received}) - \text{Cash Paid}
   $$   $$
   = (13,500 + 5,700) - (2,100 + 1,500 + 3,100 + 275)
   $$   $$
   = 19,200 - 6,975
   $$   $$
   = 12,225
   $$

Therefore, the balance in the cash account at the end of January is $12,225.