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3 years ago

Which equation represents the total interest, T, earned when the principal amount is $100, the annual simple

Mathematics

2 answers:

netineya [11]3 years ago

7 0

Answer:

The answer is option (C), T = 100 • 0.1 • 10

Step-by-step explanation:

Total interest (T) earned after a 10 years can be expressed as;

Total interest (T)=Principal amount×interest rate×Number of years

where;

Total interest=T

Principal amount=$100

Interest rate=10%=10/100=0.1

Replacing;

T=100×0.1×10

The equation for calculating the total interest amount after 10 years can be written as;

T = 100 • 0.1 • 10

nikdorinn [45]3 years ago

6 0

Answer:

Step-by-step explanation:

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4(2x - 5) + 15 = 11 Write the steps you will use to solve the equation and explain each step.

vagabundo [1.1K]

First, multiply 4*2x-4*-5= 8x-20.
Second, add 15 to 8x-20
Third, that would equal 8x-20+15=11
Fourth, 15+-20= -5
Fifth, 8x-5=11
Sixth, add +5 to -5 and +5 to 11= 8x=16
Last, do 8x/8x and 16/8x
The answer is x=2

6 0

3 years ago

Read 2 more answers

Practice with area

joja [24]

Answer:

1453 cm²

Step-by-step explanation:

The area of a regular polygon is given in terms of its perimeter and apothem by ...

A = (1/2)Pa

A = (1/2)(145.3 cm)(20 cm) = 1453 cm²

The area of the pentagon is 1453 square centimeters.

4 0

2 years ago

En una hoja de papel cuyo perímetro es de 96 centímetros, se quiere imprimir un volante de manera que el área impresa sea un rec

elixir [45]

Answer:

El perímetro de la región impresa es 72 cm y su área es 288 cm².

Step-by-step explanation:

1. Tenemos el perímetro de la hoja de papel:

P₁ = 96 cm = 2l₁ + 2a₁ (1)

Como sabemos el margen superior, inferior, izquierdo y derecho podemos encontrar la relación entre el largo y ancho del rectángulo interno (región impresa) con el largo (l) y ancho (a) del rectángulo externo (hoja de papel):

$l_{2} = l_{1} - (m_{s} + m_{i}) = l_{1} - (3 cm + 2 cm) = l_{1} - 5 cm$ (2)

$a_{2} = a_{1} - (m_{d} + m_{iz}) = a_{1} - (2 cm + 5 cm) = a_{1} - 7 cm$ (3)

El perímetro del rectángulo interno es:

$P_{2} = 2l_{2} + 2a_{2}$ (4)

Introduciendo la ecuación (2) y (3) en (4):

$P_{2} = 2l_{2} + 2a_{2} = 2(l_{1} - 5 cm) + 2(a_{1} - 7 cm) = 2l_{1} + 2a_{1} - 10 cm - 14 cm = 96 cm - 24 cm = 72 cm$

Por lo tanto el perímetro del rectángulo interno (región impresa) es 72 cm.

2. Ahora para encontrar el área rectángulo interno debemos encontrar el largo y ancho del mismo, sabiendo que:

$l_{2} = 2a_{2}$ (5)

Introduciendo (5) en (4):

$P_{2} = 2l_{2} + 2a_{2} = 2*2a_{2} + 2a_{2} = 6a_{2}$

$a_{2} = \frac{P_{2}}{6} = \frac{72 cm}{6} = 12 cm$

$l_{2} = 2a_{2} = 2*12 cm = 24 cm$

Entonces el área es:

$A_{2} = l_{2}*a_{2} = 12 cm*24 cm = 288 cm^{2}$

Por lo tanto el área del rectágulo interno (región impresa) es 288 cm².

Espero que te sea de utilidad!

7 0

2 years ago

What is the value of d?<br><br><br>Round your answer to the nearest tenth.

Sergeeva-Olga [200]

Answer:

11.9 mm

Step-by-step explanation:

We can find d by applying the cosine rules.

d² = 21² + 27² - 2(21)(27) cos (25)

d² = 441 + 729 - 1027.75

d² = 142.25

d = √142.25

d = 11.9 mm (nearest tenth)

5 0

3 years ago

A projectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t2 + 704t

Alex787 [66]

You need to find the x-coordinate (h) of the vertex of the parabola.

$-16t^2+704t=0\\
h=-\dfrac{b}{2a}=-\dfrac{704}{2\cdot(-16)}=22
$

After 22 seconds.

4 0

2 years ago