If Jacob lives until the end of the term of his policy, the total amount he would have paid in premiums overall is $50,850.
<h3>How much would he have paid in premiums?</h3>
Total premium payment = (face value / average premium rate) x number of years x premium
($500,000 / 1000) x $6.78 x 15 = $50,850
To learn more about division, please check: brainly.com/question/194007
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Answer:
equals 56
Step-by-step explanation:
The correct question is
<span>Sakura speaks 150 words per minute on average in hungarian, and 190 words per minute on average in polish. she once gave cooking instructions in hungarian, followed by cleaning instructions in polish. sakura spent 5 minutes total giving both instructions, and spoke 270 more words in polish than in hungarian. how long did sakura speak in hungarian, and how long did she speak in polish?</span>
Let
x------> total words spoken by sakura in hungarian------> 150 words /minute
y------> total words spoken by sakura in polish-----------> 190 words /minute
we know that
(x/150)+(y/190)=5--------- > equation 1
y=270 +x-------------------- > equation 2
<span>substituting 2 in 1
(x/150)+(270+x)/190=5
</span><span>multiplying all the expression by (150)*(190)
</span>190x+150*(270+x)=5*190*150
190x+40500+150x=142500
340x=102000-------------- > x=300
x=300 ------------- > total words spoken by sakura in hungarian
y=270+x=270+300=570
y=570 ----------- > total words spoken by sakura in polish
the question is <span>how long did sakura speak in hungarian, and how long did she speak in polish?
</span>
y=570 words in polish-------------------> 190 words /minute
if 190 words-----------------------------> 1 minute
570 words-------------------------- X
X=570/190=3 minutes
In polish Sakura spoke 3 minutes
x=300 words in hungarian-------------------> 150 words /minute
if 150 words-----------------------------> 1 minute
300 words-------------------------- X
X=300/150=2 minutes
In hungarian Sakura spoke 2 minutes
Answer:
φ ≈ 1.19029 radians (≈ 68.2°)
Step-by-step explanation:
There are simple formulas for A and φ in this conversion, but it can be instructive to see how they are derived.
We want to compare ...
y(t) = Asin(ωt +φ)
to
y(t) = Psin(ωt) +Qcos(ωt)
Using trig identities to expand the first equation, we have ...
y(t) = Asin(ωt)cos(φ) +Acos(ωt)sin(φ)
Matching coefficients with the second equation, we have ...
P = Acos(φ)
Q = Asin(φ)
The ratio of these eliminates A and gives a relation for φ:
Q/P = sin(φ)/cos(φ)
Q/P = tan(φ)
φ = arctan(Q/P) . . . . taking quadrant into account
__
We can also use our equations for P and Q to find A:
P² +Q² = (Acos(φ))² +(Asin(φ))² = A²(cos(φ)² +sin(φ)²) = A²
A = √(P² +Q²)
_____
Here, we want φ.
φ = arctan(Q/P) = arctan(5/2)
φ ≈ 1.19029 . . . radians
I'm assuming that the number after the variable is supposed to be the exponent.
Combine like terms to get:
