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Oksi-84
1 month ago
6

Harmony earns a \$42{,}000$42,000dollar sign, 42, comma, 000 salary in the first year of her career. Each year, she gets a 4\%4%

4, percent raise.
Which expression gives the total amount Harmony has earned in her first nnn years of her career?
Mathematics
1 answer:
AnnZ [12.3K]1 month ago
7 0

Answer:

FV(n)=42,000(1.04)^n

Step-by-step explanation:

FV represents future value.

PV is present value.

r indicates the interest rate.

n is the number of periods.

t represents time (in years).

Here, PV=42,000

r=4%=0.04

n=1

t=n

Finding FV(n) gives us p(1+r/n)^nt.

=42,000(1+0.04/1)^1*n

=420000(1+0.04)^n

=42,000(1.04)^n

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AnnZ [12381]
The volume of a cylinder can be determined using the formula pi*h*d^2/4, which leads us to V = pi*(39 mm)(39 mm)^2 / 4 = 46,589 mm^3. Dividing the mass of 1 kg by the volume of 46,589 mm^3 results in a density of 2.1464 x 10^-5 kg/mm^3. Typically, density is expressed in kg/m^3, so we convert this by multiplying by 1x10^9, yielding a density of 21,464 kg/m^3.
6 0
29 days ago
f Khan had an army of 10,000 soldiers at the lowest level, how many men in total were under him in his organization? (b) If Khan
babunello [11817]

Cette question est incomplète, la question complète est;

Gengis Khan organisait ses hommes en groupes de 10 soldats dirigés par un « leader de 10 ». Dix « leaders de 10 » étaient sous un « leader de 100 ». Dix « leaders de 100 » étaient sous un « leader de 1 000 ».

(a) Si Khan avait une armée de 10 000 soldats au niveau le plus bas, combien d'hommes en tout étaient sous son commandement dans son organisation?

(b) Si Khan avait une armée de 5 763 soldats au niveau le plus bas, combien d'hommes en tout étaient sous son commandement dans son organisation?

On suppose que les groupes de 10 doivent contenir 10 si possible, mais qu'un groupe à chaque niveau peut avoir besoin de témoigner moins

Réponse:

a) = 11110 soldats

b = 6404 soldats

Explication étape par étape:

Étant donné que Khan a disposé ses hommes en groupes de 10 sous un « leader de 10 », dix « leaders de 10 » étaient supervisés par un « leader de 100 », et dix « leaders de 100 » étaient dirigés par un « leader de 1000 »

alors

a) Si Khan avait une armée de 10 000 soldats au niveau le plus bas, combien d'hommes au total étaient sous son organisation?

MAINTENANT

Nombre de soldats = 10 000

Rang le plus bas (soldat) = 10000

troisième plus haut (leader de 10) = 10000/10 = 1000

deuxième le plus élevé (leader de 100) = 1000/10 = 100

Le plus haut (Leader de 1000) = 100/10 = 10

donc le total = 10000 + 1000 + 100 + 10 = 11110 soldats

b) Si Khan avait une armée de 5 763 soldats au rang le plus bas, combien d'hommes au total étaient sous son commandement dans son organisation? On suppose que les groupes de 10 doivent contenir 10 si possible, mais qu'un groupe à chaque niveau peut avoir besoin de témoigner moins

MAINTENANT

Nombre de soldats = 5 763

Rang le plus bas (soldat) = 5763

troisième plus haut (leader de 10) = 5763/10 = 576.3 = 577 (nombre entier requis pour un humain)

deuxième le plus élevé (leader de 100) = 577/10 = 57.7 = 58

Le plus haut (Leader de 1000) = 58/10 = 5.8 = 6

donc le total = 5763 + 577 + 58 + 6 = 6404 soldats

8 0
1 month ago
a speed limit of 100 kilometers per hour is approximately equal to 62 miles per hour. write an equation relating kilometers per
Svet_ta [12734]
The conversion between these units is 1 km/hr = 0.62 m/hr
8 0
1 month ago
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Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k. k = ______ Graph of two lines. f of x equa
lawyer [12517]

Solution:

We know, g(x) = f(x) + k --------(1)

It is given that f(x) = \frac{1}{3}(x+2)

and g(x) = \frac{1}{3}(x+5)

Substituting f(x) and g(x) into equation (1):

→ \frac{1}{3}(x+5) = \frac{1}{3}(x+2) + k

→ \frac{1}{3}[x+5-x-2] = k

→ k = \frac{1}{3} \times 3=1

Thus, the value of k is 1.

7 0
1 month ago
Kim's business earns $10,000 per month. Kim's non-employee expenses are $3,000 per month. If Kim wants $2,000 in profit per mont
AnnZ [12381]

Response:

The monthly income of Kim's business is $10,000.

Every month, Kim spends $3,000 on non-employee costs.

To achieve a monthly profit of $2,000, the highest possible expenditure for employees is calculated as follows:

10000 - 3000 - 2000 = 5000

With the cost of each employee being $1,000 a month, Kim can hire a maximum of 5000/1000 = 5 employees.

Hope this is useful

:)

8 0
1 month ago
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