The diameter of a faceoff circle on an ice hockey rink is 30 ft find its area

Jessica and Robert have two young children. They have $7,000 of qualified child care expenses and an AGI of $22,000 in 2019. Wha

Effectus [21]

Answer:

$1,860

Step-by-step explanation:

The 20%-35% from up to $6,000 of expenses paid for two or more Qualifying Persons. The percentage falls by 1% for every additional $2,000 of income until it reaches 20%.

22,000+7,000-6,000-15,000=8000/2000= 4%

35%-4%= 31%

31% × $6,000, the maximum qualified child care.

$1,860

6 0

3 years ago

Shana is climbing a mountain at a constant pace. She rises in elevation by 17.5 feet per minute. After hiking for 30 minutes, a

Mnenie [13.5K]

Answer:

The linear equation for Shana's elevation is $E = 17.5\cdot t+1640$ .

Step-by-step explanation:

According to the statement, we find that Shana is climbing at constant rate in time and height as a function of time can be represented by linear function:

$E = h_{o}+\dot h\cdot t$ (Eq. 1)

Where:

$h_{o}$ - Initial height above sea level, measured in feet.

$E$ - Elevation above sea level, measured in feet.

$\dot h$ - Climbing rate, measured in feet per minute.

$t$ - Time, measured in minutes.

If we know that $E = 2165\,ft$ , $\dot h = 17.5\,\frac{ft}{min}$ and $t = 30\,s$ . the initial height above sea level is:

$h_{o} = E - \dot h\cdot t$

$h_{o} = 2165\,ft-\left(17.5\,\frac{ft}{min} \right)\cdot (30\,min)$

$h_{o} = 1640\,ft$

The linear equation for Shana's elevation is $E = 17.5\cdot t+1640$ .

7 0

3 years ago

Help will get brainliest

Blababa [14]

For question 2 the answer is 420 calories
for question 3 answer is 53 7/8 feet

5 0

3 years ago

At 9 AM there are 37 bacteria in a dish and they start doubling every 15 minutes. At t = 274 minutes an

givi [52]

Answer:

5,035,041

Step-by-step explanation:

Exponential growth:

$y = a(1 + r)^{x}$

y = future amount

a = initial amount

r = growth rate

x = number of periods

Part A: growth at the rate of doubling each 15 minutes for 274 minutes

Each period is 15 minutes.

a = 37

x = 274/15 = number of periods

r = 100%

$y = 37(1 + 1)^{\frac{274}{15}$

-------------------------------------------------------------------------------------

Exponential decay:

$y = a(1 - r)^{x}$

The growth takes place from 9 AM for 274 minutes, or 4 hours and 34 minutes, until 1:34 PM. The decay goes from 1:34 PM to 7 PM, or 5 hours and 26 minutes, or 326 minutes

Part B: decay at the rate of 6% each 24 minutes for 326 minutes

$y = 37(1 + 1)^{\frac{274}{15}}(1 - 0.06)^{\frac{326}{24}}$

$y = 5035041$

Answer: 5,035,041

8 0

3 years ago

If sinx=1/2, find cos4x

Licemer1 [7]

Answer: -1/2

Step-by-step explanation:

Use double-angle identities:

cos(2θ)=cos^2θ−sin2^θ

cos(2θ)=1−2sin^2θ

cos(2θ)=2cos^2θ−1

sin(x)=1/2

cos(2x)=1−2sin^2x=1−2(1/4)=1/2

cos(4x)=2cos2^(2x)−1=2(1/4)−1=-1/2

4 0

2 years ago

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