Answer:
The percentage increase in Jayana's postcard collection is 15%
Step-by-step explanation:
Jayana had 20 postcards last year
With 3 more postcards this year
From the given equation Quantity = Percent x Whole
Here;
Let P = Percent/100%
Quantity = Increment in postcard = 3 postcards
Whole = The total postcards from last year = 20 postcards
Hence,
3 postcards = P x 20 postcards
P = 3/20 = 0.15
Recall P = Percent/100%
∴ Percent = P x 100% = 0.15 x 100% = 15%
The percentage increase in Jayana's postcard collection is 15%
Sphere Surface Area = <span> 4 • <span>π <span>• r²
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Sphere Surface Area =
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1,809.5573684677
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Answer:
y = 
x
Step-by-step explanation:
The equation of a linear pattern has the form
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (1, ) and (x₂, y₂ ) = (2, 1) ← 2 ordered pairs from the table
m = 
= , thus
y = x + c ← is the partial equation
To find c use any ordered pair from the table and substitute into the partial equation.
Using (2, 1) , then
1 = 1 + c ⇒ c = 1 - 1 = 0
y = x + 0 ← equation for pattern or quite simply
y = x
In the "1s" place,
1₅ + 3₅ = 4₅
In the "5s" place,
2₅ + 4₅ = (6)₅ = (5 + 1)₅ = 10₅ + 1₅ = 11₅
In the "25s" place, we carry the leading 1 from the "5s" place,
3₅ + 3₅ + 1₅ = (7)₅ = (5 + 2)₅ = 10₅ + 2₅ = 12₅
In the "125s" place, we carry over the 1 again,
4₅ + 1₅ = (5)₅ = (5 + 0)₅ = 10₅ + 0₅ = 10₅
Putting everything together,
4321₅ + 343₅ = 10214₅
Answer:
$6239
Step-by-step explanation:
A(t) = P•e^rt
Substitute with 6% 0.06, t with 4 and A(t) with 8,000 to find the value of P.
8, 000 = P•e^0.06•4
8, 000 = P•e^0.24
8, 000 = P•1.27
P = 6, 293
